Differential Geometry

[1] The singularity attack to the multivariate signature scheme HIMQ-3

Jintai Ding Department of Mathematical Science, University of Cincinnati, USA Zheng Zhang Department of Mathematical Science, University of Cincinnati, USA Joshua Deaton Department of Mathematical Science, University of Cincinnati, USA

Differential Geometry mathscidoc:2207.10008

Advances in Mathematics of Communications, 15, (1), 65-72, 2021.2
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[2] Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices

Bobo Hua School of Mathematical Sciences, LMNS, Fudan University, Shanghai 200433, China Yong Lin Department of Mathematics, Information School, Renmin University of China, Beijing 100872, China Yanhui Su College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China

Differential Geometry mathscidoc:2207.10007

arXiv, 2017.10
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[3] Ultracontractivity and Functional Inequalities on Infinite Graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Shuang Liu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Hongye Song Department of Mathematics, Renmin University of China, Beijing 100872, China; Beijing International Studies University, Beijing 100024, China

Differential Geometry Functional Analysis mathscidoc:2207.10006

Discrete & Computational Geometry, 61, 198–211, 2018.6
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[4] Harnack and mean value inequalities on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Hongye Song School of General Education, Beijing International Studies University, Beijing 100024, China; Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs Differential Geometry mathscidoc:2207.03005

Acta Mathematica Scientia, 38, (6), 1751-1758, 2018.11
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[5] Equivalent Properties for CD Inequalities on Graphs with Unbounded Laplacians

Chao Gong School of Information, Renmin University of China, Beijing 100872, China Yong Lin 1School of Information, Renmin University of China, Beijing 100872, China.

Combinatorics Differential Geometry mathscidoc:2207.06003

Chinese Annals of Mathematics, Series B, 38, 1059–1070, 2017.9
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[6] A Gradient Estimate for Positive Functions on Graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China Shuang Liu Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Differential Geometry mathscidoc:2207.10005

The Journal of Geometric Analysis, 27, 1667–1679, 2016.9
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[7] Global gradient estimate on graph and its applications

Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, P. R. China Shuang Liu Department of Mathematics, Renmin University of China, Beijing, 100872, P. R. China Yun Yan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, P. R. China

Differential Geometry mathscidoc:2207.10004

Acta Mathematica Sinica, English Series, 32, 1350–1356, 2016.10
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[8] Collapsing of the Chern-Ricci flow on elliptic surfaces

Valentino Tosatti Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA Ben Weinkove Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA Xiaokui Yang Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA

Complex Variables and Complex Analysis Differential Geometry mathscidoc:2207.08001

Mathematische Annalen, 362, 1223–1271, 2014.12
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[9] Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds

Bing-Long Chen Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China Xiaokui Yang Morningside Center of Mathematics, Institute of Mathematics, Hua Loo-Keng Key Laboratory of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

Differential Geometry mathscidoc:2207.10003

Mathematische Annalen, 370, 1477–1489, 2017.2
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[10] The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits

Valentino Tosatti Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208 Ben Weinkove Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208 Xiaokui Yang Morningside Center of Mathematics, Institute of Mathematics, HCMS, CEMS, NCNIS, HLM, UCAS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

Differential Geometry mathscidoc:2207.10002

American Journal of Mathematics, 140, (3), 653-698, 2018.6
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[11] Scalar curvature on compact complex manifolds

Xiaokui Yang Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China; HCMS, CEMS, NCNIS, HLM, UCAS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China

Differential Geometry mathscidoc:2207.10001

Transactions of the American Mathematical Society, 371, (3), 2073-2087, 2019.2
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[12] On projective varieties with strictly nef tangent bundles

Duo Li Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Wenhao Ou UCLA Mathematics Department, 520 Portola Plaza, Los Angeles, CA 90095, USA Xiaokui Yang Department of Mathematics and Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China

Differential Geometry Algebraic Geometry mathscidoc:2206.10008

Journal de Mathématiques Pures et Appliquées, 128, 140-151, 2019.8
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[13] Scalar curvature, Kodaira dimension and \hat{A}-genus

Xiaokui Yang Department of Mathematics and Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

Differential Geometry Algebraic Geometry mathscidoc:2206.10007

Mathematische Zeitschrift, 295, 365-380, 2019.6
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[14] RC-positive metrics on rationally connected manifolds

Xiaokui Yang

Complex Variables and Complex Analysis Differential Geometry Algebraic Geometry mathscidoc:2206.08002

Forum of Mathematics, Sigma, 8, e53, 1-19, 2020.11
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[15] RC-positivity, vanishing theorems and rigidity of holomorphic maps

Xiaokui Yang Department of Mathematics and Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China

Complex Variables and Complex Analysis Differential Geometry Algebraic Geometry mathscidoc:2206.08001

Journal of the Institute of Mathematics of Jussieu, 20, (3), 2019.10
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[16] On Euler characteristic and fundamental groups of compact manifolds

Bing-Long Chen Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China Xiaokui Yang Department of Mathematics and Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China

Differential Geometry mathscidoc:2206.10006

Mathematische Annalen, 381, 1723–1743, 2020.9
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[17] Enlargeable length-structure and scalar curvatures

Jialong Deng Mathematisches Institut, Georg-August-Universität, Göttingen, Germany

Differential Geometry Metric Geometry mathscidoc:2206.10005

Annals of Global Analysis and Geometry, 60, 217-230, 2021.5
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[18] Curvature-Dimension Condition Meets Gromov's n-Volumic Scalar Curvature

Jialong Deng Mathematisches Institut, Georg-August-Universität, Göttingen, Germany

Differential Geometry mathscidoc:2206.10004

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 17, (013), 2021.2
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[19] The infinitesimal and global Thurston geometry of Teichmüller space

Yi Huang YMSC, Tsinghua University Ken'ichi Ohshika Gakushuin University Athanase Papadopoulos IRMA, University of Strasbourg

Differential Geometry Geometric Analysis and Geometric Topology arXiv subject: Differential Geometry (math.DG) mathscidoc:2206.10003

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[20] A McShane-type Identity for Closed Surfaces

Yi Huang Tsinghua University

Differential Geometry Geometric Analysis and Geometric Topology arXiv subject: Geometric Topology (math.GT) arXiv subject: Differential Geometry (math.DG) mathscidoc:2206.10002

Nagoya Mathematical Journal, 219, 65, 2015.9
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[21] McShane identities for quasifuchsian representations of nonorientable surfaces

Yi Huang YMSC, Tsinghua University

Differential Geometry Geometric Analysis and Geometric Topology arXiv subject: Geometric Topology (math.GT) arXiv subject: Differential Geometry (math.DG) mathscidoc:2206.10001

International Mathematics Research Notices, 2021, (3), 1760-1808, 2021.2
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[22] Weil-Petersson metric on deformation spaces

Huai-Dong Cao Department of Mathematics, Lehigh University, Bethlehem, PA 18015, USA Xiaofeng Sun Department of Mathematics, Lehigh University, Bethlehem, PA 18015, USA Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA 02138, USA Yingying Zhang Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China

Differential Geometry mathscidoc:2204.10009

Journal of the Iranian Mathematical Society, 1, (1), 1-12, 2020.6
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[23] On the structure of gradient Yamabe solitons

Huai-Dong Cao Department of Mathematics, Lehigh University, Bethlehem, Penn., U.S.A. Xiaofeng Sun Department of Mathematics, Lehigh University, Bethlehem, Penn., U.S.A. Yingying Zhang Department of Mathematics, Lehigh University, Bethlehem, Penn., U.S.A.

Differential Geometry mathscidoc:2204.10008

Mathematical Research Letters, 19, 2012.12
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[24] Regularity of harmonic maps from polyhedra to CAT(1) spaces

Christine Breiner Department of Mathematics, Fordham University, Bronx, NY, 10458, USA Ailana Fraser Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada Lan-Hsuan Huang Department of Mathematics, University of Connecticut, Storrs, CT, 06269, USA Chikako Mese Department of Mathematics, Johns Hopkins University, 3400 N. Charles Street, Baltimore, MD, 21218, USA Pam Sargent Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada Yingying Zhang Yau Mathematical Science Center, Tsinghua University, Beijing, China

Differential Geometry mathscidoc:2204.10007

Calculus of Variations, 2017.12
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[25] Existence of harmonic maps into CAT(1) spaces

Christine Breiner Department of Mathematics, Fordham University, Bronx, New York, U.S.A. Ailana Fraser Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada Lan-Hsuan Huang Department of Mathematics, University of Connecticut, Storrs, Ct., U.S.A. Chikako Mese Department of Mathematics, Johns Hopkins University, Baltimore, Maryland, U.S.A. Pam Sargent Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada Yingying Zhang Yau Mathematical Science Center, Tsinghua University, Beijing, China

Differential Geometry mathscidoc:2204.10006

Communications in Analysis and Geometry, 28, (4), 781-835, 2020.10
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[26] A Liouville-type theorem and Bochner formula for harmonic maps into metric spaces

Brian Freidin Department of Mathematics, Vancouver, British Columbia, Canada Yingying Zhang Yau Mathematical Sciences Center, Tsinghua University, Beijing, China

Differential Geometry mathscidoc:2204.10005

Communications in Analysis and Geometry, 28, (8), 1847-1862, 2021.1
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[27] Residue formula for an obstruction to coupled Kähler–Einstein metrics

Akito Futaki Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yingying Zhang Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China

Differential Geometry mathscidoc:2204.10004

The Mathematical Society of Japan, 73, (2), 2021.4
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[28] Coupled Sasaki-Ricci solitons

Akito Futaki Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yingying Zhang Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

Differential Geometry mathscidoc:2204.10003

Science China Mathematics, 64, (7), 1447-1462, 2019.6
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[29] On deformations of Fano manifolds

Huai-Dong Cao Department of Mathematics, Lehigh University, Bethlehem, PA, 18015, USA Xiaofeng Sun Department of Mathematics, Lehigh University, Bethlehem, PA, 18015, USA Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA Yingying Zhang Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

Differential Geometry mathscidoc:2204.10002

Mathematische Annalen, 2021.6
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[30] Variations on the theme of quantum Lefschetz

Honglu Fan D-Math, ETH Zürich, Rämistrasse 101, 8092, Zürich, Switzerland Yuan-Pin Lee Department of Mathematics, University of Utah, Salt Lake City, Utah 84112-0090, U.S.A.

Differential Geometry mathscidoc:2204.10001

2019.4
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[31] Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature

D. Cushing Department of Mathematical Sciences, Durham University, United Kingdom of Great Britain and Northern Ireland S. Kamtue Department of Mathematical Sciences, Durham University, United Kingdom of Great Britain and Northern Ireland J. Koolen School of Mathematical Sciences, University of Science and Technology of China, and Wu Wen-Tsun Key Laboratory of Mathematics of CAS, Hefei, China S. Liu School of Mathematical Sciences, University of Science and Technology of China, and Wu Wen-Tsun Key Laboratory of Mathematics of CAS, Hefei, China F. Münch nstitute of Mathematics, Universität Potsdam, Germany N. Peyerimhoff Department of Mathematical Sciences, Durham University, United Kingdom of Great Britain and Northern Ireland

Combinatorics Differential Geometry mathscidoc:2203.06004

Advances in Mathematics, 369, 107188, 2020.8
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[32] The set of vertices with positive curvature in a planar graph with nonnegative curvature

Bobo Hua School of Mathematical Sciences, LMNS, Fudan University, Shanghai 200433, China; Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, China Yanhui Su College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China

Combinatorics Differential Geometry mathscidoc:2203.06003

Advances in Mathematics, 343, 789-820, 2019.2
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[33] Infinitely many Lagrangian fillings

Roger Casals University of California, Davis CA Honghao Gao Michigan State University, East Lansing MI

Differential Geometry mathscidoc:2203.10008

Annals of Mathematics, 195, 207-249, 2022.1
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[34] The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds

Francesco Lin Michael Lipnowski

Differential Geometry Geometric Analysis and Geometric Topology Number Theory mathscidoc:2203.10007

Journal of the Americal Mathematical Society, 35, (1), 233-293, 2022.1
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[35] Flows on the PGL(V)-Hitchin component

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2203.10006

Geometric And Functional Analysis, 30, 588-692, 2020.5
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[36] Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures

Martin Bridgeman Boston College, Chestnut Hill (Boston) Yunhui Wu Qinghua (Tsing Hua) University, Beijing, PEOPLES REPUBLIC OF CHINA

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2203.10005

Journal für die Reine und Angewandte Mathematik, 770, 159-181, 2021.12
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[37] The J-equation and the supercritical deformed Hermitian–Yang–Mills equation

Gao Chen Institute of Geometry and Physics, University of Science and Technology of China, No.96 Jinzhai Road, Hefei, Anhui, China

Differential Geometry mathscidoc:2203.10004

Inventiones mathematicae, 225, 529-602, 2021.2
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[38] Special Lagrangian submanifolds of log Calabi–Yau manifolds

Tristan C. Collins Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA Adam Jacob Department of Mathematics, University of California, Davis, Davis, California, USA Yu-Shen Lin Department of Mathematics, Boston University, Boston, Massachusetts, USA

Differential Geometry mathscidoc:2203.10003

Duke Math. J., 170, (7), 1291-1375, 2021.5
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[39] Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry

Piermarco Cannarsa Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Roma, Italy Wei Cheng Department of Mathematics, Nanjing University, Nanjing, 210093, China Albert Fathi Georgia Institute of technology & ENS de Lyon (Emeritus), School of Mathematics, Atlanta, GA, 30332, USA

Differential Geometry mathscidoc:2203.10002

Publications mathématiques de l'IHÉS, 133, 327-366, 2021.7
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[40] Metric Lie groups admitting dilations

Enrico Le Donne Department of Mathematics and Statistics, University of Jyväskylä, Finland; and Dipartimento di Matematica, Università di Pisa, Italy Sebastiano Nicolussi Golo Dipartimento di Matematica, Università di Padova, Italy

Differential Geometry Algebraic Topology and General Topology mathscidoc:2203.10001

Arkiv for Matematik, 59, (1), 125-163, 2021.5
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[41] On characteristic numbers of 24 dimensional string manifolds

Fei Han National University of Singapore Ruizhi Huang Chinese Academy of Sciences

Differential Geometry Geometric Analysis and Geometric Topology Algebraic Topology and General Topology mathscidoc:2112.10001

2021.9
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[42] Cubic forms, anomaly cancellation and modularity

Fei Han National University of Singapore Ruizhi Huang Chinese Academy of Sciences Kefeng Liu University of California at Los Angeles, Weiping Zhang Nankai University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics Algebraic Topology and General Topology mathscidoc:2110.10001

46, 2021.10
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[43] Stringc structures and modular invariants

Ruizhi Huang Chinese Academy of Sciences Fei Han National University of Singapore Haibao Duan Chinese Academy of Sciences

Differential Geometry Geometric Analysis and Geometric Topology Algebraic Topology and General Topology mathscidoc:2109.10001

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 374, (5), 3491–3533, 2021.5
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[44] Immersed two-spheres and SYZ with applications to Grassmannians

Hansol Hong Yonsei University Yoosik Kim Pusan National University Siu-Cheong Lau Boston University

Differential Geometry mathscidoc:2107.10001

JDG, 2021.7
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[45] Uniqueness of stable capillary hypersurfaces in a ball

Guofang Wang Albert-Ludwigs University of Freiburg Chao Xia Xiamen University

Differential Geometry mathscidoc:2106.10001

Mathematische Annalen, 374, (3), 1845-1882, 2019.8
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[46] Fu-Yau Hessian equation

Duong H. Phong Columbia University Sebastien Picard University of British Columbia Xiangwen Zhang University of California, Irvine

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry mathscidoc:2106.03001

2018.4
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[47] A polyhedron comparison theorem for 3-manifolds with positive scalar curvature

Chao Li Princeton University

Differential Geometry mathscidoc:2105.10002

Inventiones mathematicae, 219, (1), 1-37, 2020.1
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[48] Evolution of angular momentum and center of mass at null infinity

Po-Ning Chen Jordan Keller Mu-Tao Wang Ye-Kai Wang Shing-Tung Yau

Differential Geometry Mathematical Physics mathscidoc:2105.10001

Communication in Mathematical Physics, 2021.4
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[49] The weyl problem in warped product spaces

Chunhe Li School of Mathematical Sciences, University of Electronic Science and Technology of China Zhizhang Wang School of Mathematical Sciences, Fudan Univeristy

Analysis of PDEs Differential Geometry mathscidoc:2103.03006

Journal of Differential Geometry, 114, (2), 243-304, 2020.2
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[50] Singular Cotangent Bundle Reduction and Polar Actions

Xiaoyang Chen Tongji University Jianyu Ou Shanghai Center for Mathematical Sciences, Fudan University

Differential Geometry mathscidoc:2103.10005

The Journal of Geometric Analysis, 30, 2020
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[51] Morse-Novikov cohomology of almost nonnegatively curved manifolds

Xiaoyang Chen Tongji University

Differential Geometry mathscidoc:2103.10004

Advances in Mathematics, 371, 2020
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[52] New affine inequalities and projectionmean ellipsoids

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Differential Geometry Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2103.10003

Calculus of Variations and PDEs, 58, (2), 44, 2019
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[53] The lp minkowski problem for the electrostatic p-capacity

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2103.10002

Journal of Differential Geometry, (6), 555-596, 2020.12
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[54] Harmonic maps for Hitchin representations

Qiongling Li Chern Institute of Mathematics, Nankai University

Differential Geometry mathscidoc:2103.10001

Geom. Funct. Anal. , 29, 539-560, 2019
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[55] Local Curvature Estimates of Long-Time Solutions to the Kahler-Ricci Flow

Frederick Tsz-Ho Fong Hong Kong University of Science and Technology Yashan Zhang Hunan University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2011.10001

Advances in Mathematics, 375, 107416, 2020.12
[ Download ] [ 2020-11-14 03:37:52 uploaded by thfong ] [ 274 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[56] Refined scattering diagrams and theta functions from asymptotic analysis of Maurer--Cartan equations

Naichung Conan Leung The Chinese University of Hong Kong Matthew Bruce Young Utah State University Ziming Nikolas Ma The Chinese University of Hong Kong

Differential Geometry mathscidoc:2010.10002

International Mathematics Research Notices, 2019.7
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[57] Geometric quantization and quantum moment maps on coadjoint orbits and K\"ahler-Einstein manifolds

Naichung Conan Leung The Chinese University of Hong Kong Qin Li Southern University of Science and Technology Ziming Nikolas Ma The Chinese University of Hong Kong

Differential Geometry mathscidoc:2010.10001

9 pages, 2020.10
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[58] Quantization of Kähler manifolds

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Qin Li Southern University of Science and Technology

Differential Geometry mathscidoc:2009.10002

J. Geom. Phys., 163, 104143, 2021.5
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[59] Bargmann-Fock sheaves on Kähler manifolds

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Qin Li Southern University of Science and Technology

Differential Geometry mathscidoc:2009.10001

Comm. Math. Phys., 388, (3), 1297-1322, 2021.12
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[60] Intersection of almost complex submanifolds

Weiyi Zhang University of Warwick

Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2005.08001

Distinguished Paper Award in 2020

Cambridge Journal of Mathematics, 6, (4), 451-496, 2018
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[61] Adiabatic limits of anti-self-dual connections on collapsed k3 surfaces

VED DATAR Indian Institute of Science ADAM JACOB UC Davis Yuguang Zhang University of Bath

Differential Geometry mathscidoc:2005.10003

[ Download ] [ 2020-05-30 02:19:46 uploaded by YZhang ] [ 359 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[62] Kahler-einstein metrics on fano manifolds. ii: limits with cone angle less than 2π

Xiu-Xiong Chen Simon Donaldson Song Sun

Differential Geometry mathscidoc:2005.10002

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 28, (1), 199-234, 2015.1
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[63] Hopf-Cole transformation via generalized Schrodinger bridge problem

Flavien Leger UCLA Wuchen Li UCLA

Differential Geometry Dynamical Systems Information Theory Probability mathscidoc:2004.10001

arXiv:1901.09051, 2019.1
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[64] Transport information geometry I: Riemannian calculus on probability simplex

Wuchen Li UCLA

Differential Geometry Information Theory Mathematical Physics Machine Learning mathscidoc:2004.19001

arXiv:1803.06360, 2018.3
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[65] Hessian metric via transport information geometry

Wuchen Li UCLA

Differential Geometry Information Theory Mathematical Physics mathscidoc:2004.22001

arXiv:2003.10526, 2020.3
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[66] Ricci curvature for parametric statistics via optimal transport

Wuchen Li UCLA Guido Montufar UCLA

Differential Geometry Information Theory Machine Learning mathscidoc:2004.41001

Information geometry, 2020.1
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[67] Free boundary minimal surfaces in the unit ball : recent advances and open questions

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10006

arXiv preprint arXiv:1907.05053, 2019.7
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[68] Min-max theory for free boundary minimal hypersurfaces II: general Morse index bounds and applications

Qiang Guang Australian National University Martin Man-chun Li Chinese University of Hong Kong Zhichao Wang Max-Planck Institute for Mathematics Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10005

arXiv preprint arXiv:1907.12064, 2019.7
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[69] A maximum principle for free boundary minimal varieties of arbitrary codimension

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10004

arXiv preprint arXiv:1708.05001, 2017.5
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[70] Curvature estimates for stable free boundary minimal hypersurfaces

Qiang Guang University of California Santa Barbara Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10003

Journal für die reine und angewandte Mathematik, 2018.5
[ Download ] [ 2020-01-03 16:37:19 uploaded by Martin_Man_chun_Li ] [ 340 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[71] A general existence theorem of embedded minimal surfaces with free boundary

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10002

Communications on Pure and Applied Mathematics, 68, (2), 286-331, 2015.2
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[72] Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary

Martin Man-chun Li Chinese University of Hong Kong Ailana Fraser University of British Columbia

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10001

Journal of Differential Geometry, 96, (2), 183-200, 2014
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[73] On the curvature estimates for Hessian equations

Changyu Ren Zhizhang Wang

Differential Geometry mathscidoc:1912.431035

American Journal of Mathematics, 141, (5), 1281-1315, 2019
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[74] A proof of Alexandrov's uniqueness theorem for convex surfaces in R3

Pengfei Guan Zhizhang Wang Xiangwen Zhang

Differential Geometry mathscidoc:1912.431034

Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 33, (2), 329-336, 2016.3
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[75] An interior estimate for convex solutions and a rigidity theorem

Ming Li Changyu Ren Zhizhang Wang

Differential Geometry mathscidoc:1912.431033

Journal of Functional Analysis, 270, (7), 2691-2714, 2016.4
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[76] A remark on the hard Lefschetz theorem for Khler orbifolds

Zhizhang Wang Dan Zaffran

Differential Geometry mathscidoc:1912.431032

Proceedings of the American Mathematical Society, 137, (8), 2497-2501, 2009
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[77] Form-type equations on Khler manifolds of nonnegative orthogonal bisectional curvature

Jixiang Fu Zhizhang Wang Damin Wu

Differential Geometry mathscidoc:1912.431031

Calculus of Variations and Partial Differential Equations, 52, 327-344, 2015.1
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[78] Semilinear equations, the function, and generalized Gauduchon metrics

Jixiang Fu Zhizhang Wang Damin Wu

Differential Geometry mathscidoc:1912.431030

arXiv preprint arXiv:1010.2013, 2010.10
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[79] Comparing corresponding dihedral angles on classical geometric simplices

Thomas Kwok-keung Au Feng Luo Richard Stong

Differential Geometry mathscidoc:1912.43822

arXiv preprint math/0606350, 2006.6
[ Download ] [ 2019-12-24 21:00:13 uploaded by Feng_Luo ] [ 247 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[80] The Mbius characterizations of Willmore tori and Veronese submanifolds in the unit sphere

Feng Luo Haizhong Li Changping Wang

Differential Geometry mathscidoc:1912.43786

Pacific journal of mathematics, 241, (2), 227-242, 2009.6
[ Download ] [ 2019-12-24 20:58:16 uploaded by Feng_Luo ] [ 213 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[81] Rigidity of polyhedral surfaces, II

Ren Guo Feng Luo

Differential Geometry mathscidoc:1912.43784

Geometry & Topology, 13, (3), 1265-1312, 2009.2
[ Download ] [ 2019-12-24 20:58:09 uploaded by Feng_Luo ] [ 192 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[82] Discrete heat kernel determines discrete Riemannian metric

Wei Zeng Ren Guo Feng Luo Xianfeng Gu

Differential Geometry mathscidoc:1912.43783

Graphical Models, 74, (4), 121-129, 2012.7
[ Download ] [ 2019-12-24 20:58:03 uploaded by Feng_Luo ] [ 361 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[83] Rigidity of polyhedral surfaces, III

Feng Luo

Differential Geometry mathscidoc:1912.43780

Geometry & Topology, 15, (4), 2299-2319, 2011.12
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[84] On the Fundamental Group of Manifolds of Non-positive Curvature

Shing-Tung Yau

Differential Geometry mathscidoc:1912.43730

Proceedings of the National Academy of Sciences, 67, (2), 509-509, 1970.10
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[85] Chapter IX Group Actions on R3

William H Meeks III Shing-Tung Yau

Differential Geometry mathscidoc:1912.43729

112, 167-179, 1984.1
[ Download ] [ 2019-12-24 20:53:20 uploaded by yaust ] [ 103 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[86] General framework for discrete surface ricci flow

MIN ZHANG REN GUO WEI ZENG FENG LUO Shing-Tung Yau XIANFENG GU

Differential Geometry mathscidoc:1912.43714

arXiv preprint arXiv:1401.0401, 2014.1
[ Download ] [ 2019-12-24 20:51:55 uploaded by yaust ] [ 247 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[87] The Minkowski Formula and the Quasi-Local Mass

Po-Ning Chen Mu-Tao Wang Shing-Tung Yau

Differential Geometry mathscidoc:1912.43711

Annales Henri Poincar, 20, (3), 889-904
[ Download ] [ 2019-12-24 20:51:39 uploaded by yaust ] [ 267 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[88] Correction to" A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry"

J Jost Shing-Tung Yau

Differential Geometry mathscidoc:1912.43709

Acta Mathematica-Djursholm, 173, (2), 307, 1993
[ Download ] [ 2019-12-24 20:51:33 uploaded by yaust ] [ 239 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[89] Tetrahedral Mesh Construction for Unit Tangent Bundle over Genus-Zero Surfaces

Xiaotian Yin Wei Han Xianfeng Gu Shing-Tung Yau

Differential Geometry mathscidoc:1912.43704

21th International Meshing Roundtable, 2012
[ Download ] [ 2019-12-24 20:51:12 uploaded by yaust ] [ 213 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[90] A Realization of Thurstons Geometrization: Discrete Ricci Flow with Surgery

Paul M Alsing Warner A Miller Shing-Tung Yau

Differential Geometry mathscidoc:1912.43689

arXiv preprint arXiv:1709.08494, 2017.9
[ Download ] [ 2019-12-24 20:50:13 uploaded by yaust ] [ 261 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[91] Correction to" A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry

Shing-Tung Yau

Differential Geometry mathscidoc:1912.43677

Acta Math, 173, 307, 1993
[ Download ] [ 2019-12-24 20:49:26 uploaded by yaust ] [ 212 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[92] Canonical metrics on the moduli space of Riemann surface

Liu Kefeng Sun Xiaofeng Shing-Tung Yau

Differential Geometry mathscidoc:1912.43675

J. Differential Geom., to appear, 2004
[ Download ] [ 2019-12-24 20:49:16 uploaded by yaust ] [ 195 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[93] Further studies on the notion of differentiable maps from Azumaya/matrix manifolds, I. The smooth case

Chien-Hao Liu Shing-Tung Yau

Differential Geometry mathscidoc:1912.43672

arXiv preprint arXiv:1508.02347, 2015.8
[ Download ] [ 2019-12-24 20:49:03 uploaded by yaust ] [ 223 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[94] Li-Yau inequality for unbounded Laplacian on graphs

Chao Gong Yong Lin Shuang Liu Shing-Tung Yau

Differential Geometry mathscidoc:1912.43669

Advances in Mathematics, 357, 106822, 2019.12
[ Download ] [ 2019-12-24 20:48:44 uploaded by yaust ] [ 278 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[95] A New Conformal Invariant and Its Applications to the Wilmore Conjecture and the First Eigenvalue of Compact Surfaces.

Shing-Tung Yau Peter Li

Differential Geometry mathscidoc:1912.43668

Inventiones mathematicae, 69, 269-292, 1982
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[96] A remark on the existence of sphere with prescribed mean curvature

Shing-Tung Yau

Differential Geometry mathscidoc:1912.43649

Asian Journal of Mathematics, 1, (2), 293-294, 1997.6
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[97] Differential equations from mirror symmetry

Bong H Lian Shing-Tung Yau

Differential Geometry mathscidoc:1912.43648

Surveys in Differential Geometry, 5, (1), 510-526, 1999
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[98] On exterior calculus and curvature in piecewise-flat manifolds

Jonathan R McDonald Warner A Miller Paul M Alsing Xianfeng D Gu Xuping Wang Shing-Tung Yau

Differential Geometry mathscidoc:1912.43639

arXiv preprint arXiv:1212.0919, 2012.12
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[99] The Harnack estimate for the Ricci flow on a surfacerevisited

Richard S Hamilton Shing-Tung Yau

Differential Geometry mathscidoc:1912.43638

Asian Journal of Mathematics, 1, (3), 418-421, 1997.9
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[100] Chapter VIII The Equivariant Loop Theorem for Three-Dimensional Manifolds and a Review of the Existence Theorems for Minimal Surfaces

Shing-Tung Yau William H Meeks III

Differential Geometry mathscidoc:1912.43609

112, 153-163, 1984.1
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[101] The structure of manifolds with positive scalar curvature

Richard Schoen Shing-Tung Yau

Differential Geometry mathscidoc:1912.43606

235-242, 1987.1
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[102] The topological uniqueness of complete minimal surfaces of finite topological type

William H Meeks III Shing-Tung Yau

Differential Geometry mathscidoc:1912.43597

Topology, 31, (2), 305-316, 1992.4
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[103] A note on small deformations of balanced manifolds

Jixiang Fu Shing-Tung Yau

Differential Geometry mathscidoc:1912.43581

Comptes Rendus Mathematique, 349, 793-796, 2011.7
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[104] Isoperimetric properties of higher eigenvalues of elliptic operators

Alexander Grigor'yan Shing-Tung Yau

Differential Geometry mathscidoc:1912.43580

American Journal of Mathematics, 125, (4), 893-940, 2003
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[105] A remark on our paper" Negative Holomorphic curvature and positive canonical bundle"

Damin Wu Shing-Tung Yau

Differential Geometry mathscidoc:1912.43569

arXiv preprint arXiv:1609.01377, 2016.9
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[106] Surface parameterization using Riemann surface structure

Yalin Wang Xianfeng Gu Kiralee M Hayashi Tony F Chan Paul M Thompson Shing-Tung Yau

Differential Geometry mathscidoc:1912.43565

2, 1061-1066, 2005.10
[ Download ] [ 2019-12-24 20:41:00 uploaded by yaust ] [ 185 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[107] The unified discrete surface Ricci flow

Min Zhang Ren Guo Wei Zeng Feng Luo Shing-Tung Yau Xianfeng Gu

Differential Geometry mathscidoc:1912.43556

Graphical Models, 76, (5), 321-339, 2014.9
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[108] Harnack inequality for non-self-adjoint evolution equations

Shing-Tung Yau

Differential Geometry mathscidoc:1912.43555

Mathematical Research Letters, 2, (4), 387-399, 1995.7
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[109] Remarks on the group of isometries of a Riemannian manifold

Shing-Tung Yau

Differential Geometry mathscidoc:1912.43551

Topology, 16, (3), 239-247, 1977.1
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[110] The role of partial differential equations in differential geometry

Shing-Tung Yau

Differential Geometry mathscidoc:1912.43550

Proceedings of the International Congress of Mathematicians (Helsinki, 1978), 237-250, 1978
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[111] Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity

Richard Schoen Shing-Tung Yau

Differential Geometry mathscidoc:1912.43549

Proceedings of the National Academy of Sciences, 75, (6), 2567-2567, 1978.6
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[112] On the isoperimetric inequality for minimal surfaces

Peter Li Richard Schoen Shing-Tung Yau

Differential Geometry mathscidoc:1912.43544

Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 11, (2), 237-244, 1984
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[113] Manifold splines with a single extraordinary point

Xianfeng Gu Ying He Miao Jin Feng Luo Hong Qin Shing-Tung Yau

Differential Geometry mathscidoc:1912.43542

Computer-Aided Design, 40, (6), 676-690, 2008.6
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[114] Positive scalar curvature and minimal hypersurface singularities

Richard Schoen Shing-Tung Yau

Differential Geometry mathscidoc:1912.43538

arXiv preprint arXiv:1704.05490, 2017.4
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[115] Geometry of three manifolds and existence of black hole due to boundary effect

Shing-Tung Yau

Differential Geometry mathscidoc:1912.43534

arXiv preprint math/0109053, 2001.9
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[116] Brain surface conformal parameterization with the Ricci flow

Yalin Wang Jie Shi Xiaotian Yin Xianfeng Gu Tony F Chan Shing-Tung Yau Arthur W Toga Paul M Thompson

Differential Geometry mathscidoc:1912.43526

IEEE transactions on medical imaging, 31, (2), 251-264, 2011.9
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[117] Balanced metrics on non-Khler Calabi-Yau threefolds

Jixiang Fu Jun Li Shing-Tung Yau

Differential Geometry mathscidoc:1912.43523

Journal of Differential Geometry, 90, (1), 81-129, 2012
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[118] Eigenvalues of elliptic operators and geometric applications

Alexander Grigoryan Yuri Netrusov Shing-Tung Yau

Differential Geometry mathscidoc:1912.43522

Surveys in differential geometry, 9, (1), 147-217, 2004
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[119] Upper bound for the first eigenvalue of algebraic submanifolds

Jean-Pierre Bourguignon Peter Li Shing-Tung Yau

Differential Geometry mathscidoc:1912.43517

Commentarii Mathematici Helvetici, 69, (2), 199-207, 1994.12
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[120] Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres

H Blaine Lawson Shing-Tung Yau

Differential Geometry mathscidoc:1912.43514

Commentarii Mathematici Helvetici, 49, (1), 232-244, 1974.12
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[121] Heat equations on minimal submanifolds and their applications

Shiu-Yuen Cheng Peter Li Shing-Tung Yau

Differential Geometry mathscidoc:1912.43509

American Journal of Mathematics, 106, (5), 1033-1065, 1984.10
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[122] Optimal global conformal surface parameterization

Miao Jin Yalin Wang Shing-Tung Yau Xianfeng Gu

Differential Geometry mathscidoc:1912.43504

267-274, 2004.10
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[123] Special Lagrangians, stable bundles and mean curvature flow

Richard P Thomas Shing-Tung Yau

Differential Geometry mathscidoc:1912.43494

arXiv preprint math/0104197, 2001.4
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[124] Ricci curvature and eigenvalue estimate on locally finite graphs

Yong Lin Shing-Tung Yau

Differential Geometry mathscidoc:1912.43493

Mathematical research letters, 17, (2), 343-356, 2010.3
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[125] Compact manifolds of nonpositive curvature

H Blaine Lawson Jr Shing-Tung Yau

Differential Geometry mathscidoc:1912.43488

Journal of Differential Geometry, 7, 211-228, 1985
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[126] The existence of embedded minimal surfaces and the problem of uniqueness

William W Meeks Shing-Tung Yau

Differential Geometry mathscidoc:1912.43482

Mathematische Zeitschrift, 179, (2), 151-168, 1982.6
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[127] On the upper estimate of the heat kernel of a complete Riemannian manifold

Siu Yuen Cheng Peter Li Shing-Tung Yau

Differential Geometry mathscidoc:1912.43481

American Journal of Mathematics, 103, (5), 1021-1063, 1981.10
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[128] On univalent harmonic maps between surfaces

Richard Schoen Shing-Tung Yau

Differential Geometry mathscidoc:1912.43478

Inventiones mathematicae, 44, (3), 265-278, 1978.10
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[129] Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature

William Meeks III Leon Simon Shing-Tung Yau

Differential Geometry mathscidoc:1912.43475

Annals of Mathematics, 621-659, 1982.11
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[130] Estimates of eigenvalues of a compact Riemannian manifold

Shing-Tung Yau

Differential Geometry mathscidoc:1912.43471

Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), 205-239, 1980
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[131] Hypersurfaces with constant scalar curvature

Shiu-Yuen Cheng Shing-Tung Yau

Differential Geometry mathscidoc:1912.43468

Mathematische Annalen, 225, (3), 195-204
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[132] Conformally flat manifolds, Kleinian groups and scalar curvature

Richard Schoen Shing-Tung Yau

Differential Geometry mathscidoc:1912.43467

Inventiones mathematicae, 92, (1), 47-71, 1988.2
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[133] On the structure of manifolds with positive scalar curvature

Richard Schoen Shing-Tung Yau

Differential Geometry mathscidoc:1912.43466

Manuscripta mathematica, 28, (1), 159-183, 1979.1
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[134] A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

Peter Li Shing-Tung Yau

Differential Geometry mathscidoc:1912.43465

Inventiones mathematicae, 69, (2), 269-291, 1982.6
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[135] Riemannian geometry and geometric analysis

Jrgen Jost Shing-Tung Yau

Differential Geometry mathscidoc:1912.43461

42005, 2008.4
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[136] The rigidity theorems of self shrinkers via Gauss maps

Qi Ding Fudan University Yuanlong Xin Fudan University Ling Yang Fudan University

Differential Geometry mathscidoc:1912.10004

Advances in Mathematics, 303, (5), 151-174, 2016
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[137] Subsequent singularities of mean convex mean curvature flows in smooth manifolds

Qi Ding Fudan University

Differential Geometry mathscidoc:1912.10003

Calc. Var. Partial Differential Equations, 55, (1), 1-12, 2016
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[138] Existence and non-existence of area-minimizing hypersurfaces in manifolds of non-negative Ricci curvature

Qi Ding Fudan University J. Jost Max Planck Institute for Mathematics in the Sciences Yuanlong Xin Fudan University

Differential Geometry mathscidoc:1912.10002

Amer. J. Math., 138, (2), 287-327, 2016
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[139] Minimal graphic functions on manifolds of non-negative Ricci curvature

Qi Ding Fudan University J. Jost Max Planck Institute for Mathematics in the Sciences Yuanlong Xin Fudan University

Differential Geometry mathscidoc:1912.10001

Comm. Pure Appl. Math., 69, (2), 323-371, 2016
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[140] Note on geodesic rays and simple test configurations

SONG SUN

Differential Geometry mathscidoc:1912.43460

Journal of Symplectic Geometry, 8, (1), 57-65, 2010
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[141] Projective embedding of log Riemann surfaces and K-stability

Jingzhou Sun SONG SUN

Differential Geometry mathscidoc:1912.43459

arXiv preprint arXiv:1605.01089, 2016.5
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[142] Note on K-stability of pairs

SONG SUN

Differential Geometry mathscidoc:1912.43458

arXiv preprint arXiv:1108.4603, 2011.8
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[143] The generalized Frankel conjecture in Sasaki geometry

Weiyong He SONG SUN

Differential Geometry mathscidoc:1912.43457

International Mathematics Research Notices, 2015, (1), 99-118, 2015
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[144] Frankel conjecture and Sasaki geometry

Weiyong He SONG SUN

Differential Geometry mathscidoc:1912.43456

Advances in Mathematics, 291, 912-960, 2016.3
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[145] On the KhlerRicci flow near a KhlerEinstein metric

SONG SUN Yuanqi Wang

Differential Geometry mathscidoc:1912.43455

Journal fr die reine und angewandte Mathematik (Crelles Journal), 2015, (699), 143-158
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[146] Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Khler metrics

Xiuxiong Chen SONG SUN

Differential Geometry mathscidoc:1912.43454

Annals of Mathematics, 180, (2), 407-454, 2014
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[147] Compact moduli spaces of Del Pezzo surfaces and KhlerEinstein metrics

Yuji Odaka Cristiano Spotti SONG SUN

Differential Geometry mathscidoc:1912.43453

Journal of Differential Geometry, 102, (1), 127-172, 2016
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[148] Conical KhlerEinstein metrics revisited

Chi Li SONG SUN

Differential Geometry mathscidoc:1912.43452

Communications in Mathematical Physics, 331, (3), 927-973
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[149] Kahler-Einstein metrics and stability

Xiu-Xiong Chen Simon Donaldson SONG SUN

Differential Geometry mathscidoc:1912.43451

arXiv preprint arXiv:1210.7494, 2012.10
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[150] Gromov-Hausdorff limits of Khler manifolds and algebraic geometry

Simon Donaldson SONG SUN

Differential Geometry mathscidoc:1912.43450

Acta Mathematica, 2014
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[151] Khler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities

Xiuxiong Chen Simon Donaldson SONG SUN

Differential Geometry mathscidoc:1912.43449

Journal of the American Mathematical Society, 28, (1), 183-197, 2015
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[152] Khler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2 and completion of the main proof

Xiuxiong Chen Simon Donaldson SONG SUN

Differential Geometry mathscidoc:1912.43448

Journal of the American Mathematical Society, 28, (1), 235-278, 2015
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[153] Remarks on the Chern classes of Calabi-Yau moduli

Kefeng Liu Changyong Yin

Differential Geometry mathscidoc:1912.43133

arXiv preprint arXiv:1412.7221, 2014.12
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[154] A Donaldson type functional on a holomorphic Finsler vector bundle

Huitao Feng Kefeng Liu Xueyuan Wan

Differential Geometry mathscidoc:1912.43126

Mathematische Annalen, 369, 997-1019, 2017.12
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[155] Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds

Kefeng Liu Wei Xia

Differential Geometry mathscidoc:1912.43123

Science China Mathematics, 62, (1), 171-184, 2019.1
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[156] Quantum correction and the moduli spaces of Calabi-Yau manifolds

Kefeng Liu Changyong Yin

Differential Geometry mathscidoc:1912.43119

arXiv preprint arXiv:1411.0069, 2014.11
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[157] Modular invariance and anomaly cancellation formulas in odd dimension

Kefeng Liu Yong Wang

Differential Geometry mathscidoc:1912.43118

Journal of Geometry and Physics, 99, 190-200, 2016.1
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[158] Levi-Civita Ricci-flat metrics on compact complex manifolds

Jie He Kefeng Liu Xiaokui Yang

Differential Geometry mathscidoc:1912.43115

The Journal of Geometric Analysis, 1-21, 2020.6
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[159] On family rigidity theorems II

Kefeng Liu Xiaonan Ma

Differential Geometry mathscidoc:1912.43113

arXiv preprint math/9911035, 1999.11
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[160] Goodness of canonical metrics on the moduli space of Riemann surfaces

Kefeng Liu Xiaofeng Sun Shing-Tung Yau

Differential Geometry mathscidoc:1912.43109

Pure and Applied Mathematics Quarterly, 10, (2), 223-243, 2014.4
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[161] Adiabatic limits, vanishing theorems and the noncommutative residue

Kefeng Liu Yong Wang

Differential Geometry mathscidoc:1912.43106

Science in China Series A: Mathematics, 52, (12), 2699, 2009.12
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[162] A geometric heat flow for vector fields

Yi Li Kefeng Liu

Differential Geometry mathscidoc:1912.43104

Science China Mathematics, 58, (4), 673-688, 2015.4
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[163] Compact K\" ahler manifolds with positive orthogonal bisectional curvature

Huitao Feng Kefeng Liu Xueyuan Wan

Differential Geometry mathscidoc:1912.43100

arXiv preprint arXiv:1710.10240, 2017.10
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[164] New results on the geometry of the moduli space of Riemann surfaces

Kefeng Liu XiaoFeng Sun Shing-Tung Yau

Differential Geometry mathscidoc:1912.43098

Science in China Series A: Mathematics, 51, (4), 632-651, 2008.4
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[165] A note on modular forms and generalized anomaly cancellation formulas

Kefeng Liu Yong Wang

Differential Geometry mathscidoc:1912.43097

arXiv preprint arXiv:1109.5794, 2011.9
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[166] Remarks on the geometry of moduli spaces

Kefeng Liu

Differential Geometry mathscidoc:1912.43096

Proceedings of the American Mathematical Society, 689-695, 1996.3
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[167] Generalized Ricci flow I: Local existence and uniqueness

Chun-Lei He Sen Hu De-Xing Kong Kefeng Liu

Differential Geometry mathscidoc:1912.43091

151-171, 2008
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[168] Rigidity theorems on odd dimensional manifolds

Kefeng Liu Yong Wang

Differential Geometry mathscidoc:1912.43090

Pure and Applied Mathematics Quarterly, 5, (3), 1139-1160, 2009.7
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[169] Geodesic-Einstein metrics and nonlinear stabilities

Huitao Feng Kefeng Liu Xueyuan Wan

Differential Geometry mathscidoc:1912.43087

Transactions of the American Mathematical Society, 371, (11), 8029-8049, 2019
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[170] On elliptic genera and foliations

Kefeng Liu Xiaonan Ma Weiping Zhang

Differential Geometry mathscidoc:1912.43085

arXiv preprint math/9912175, 1999.12
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[171] Modular forms and generalized anomaly cancellation formulas

Fei Han Kefeng Liu Weiping Zhang

Differential Geometry mathscidoc:1912.43083

Journal of Geometry and Physics, 62, (5), 1038-1053, 2012.5
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[172] A remark on weighted Bergman kernels on orbifolds

Xianzhe Dai Kefeng Liu Xiaonan Ma

Differential Geometry mathscidoc:1912.43080

arXiv preprint arXiv:1107.4677, 2011.7
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[173] Chern forms of holomorphic Finsler vector bundles and some applications

Huitao Feng Kefeng Liu Xueyuan Wan

Differential Geometry mathscidoc:1912.43079

International Journal of Mathematics, 27, (4), 1650030, 2016.4
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[174] Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data

De-Xing Kong Kefeng Liu Yu-Zhu Wang

Differential Geometry mathscidoc:1912.43075

Communications in Partial Differential Equations, 36, (1), 162-184, 2010.11
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[175] Adiabatic limits and foliations

Kefeng Liu Weiping Zhang

Differential Geometry mathscidoc:1912.43072

arXiv preprint math/9912223, 1999.12
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[176] Mean curvature flow of higher codimension in hyperbolic spaces

Kefeng Liu Hongwei Xu Fei Ye Entao Zhao

Differential Geometry mathscidoc:1912.43071

arXiv preprint arXiv:1105.5686, 2011.5
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[177] On orbifold elliptic genus

Chongying Dong Kefeng Liu Xiaonan Ma

Differential Geometry mathscidoc:1912.43069

arXiv preprint math/0109005, 2001.9
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[178] Recent Development on the Geometry of the Teichmuller and Moduli Spaces of Riemann Surfaces and Polarized Calabi-Yau Manifolds

Kefeng Liu Xiaofeng Sun Shing-Tung Yau

Differential Geometry mathscidoc:1912.43068

arXiv preprint arXiv:0912.5471, 2009.12
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[179] A remark on'Some numerical results in complex differential geometry'

Kefeng Liu Xiaonan Ma

Differential Geometry mathscidoc:1912.43067

arXiv preprint math/0601260, 2006.1
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[180] Quasi-isometry and deformations of CalabiYau manifolds

Kefeng Liu Sheng Rao Xiaokui Yang

Differential Geometry mathscidoc:1912.43066

Inventiones mathematicae, 199, (2), 423-453, 2015.2
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[181] Hyperbolic geometric flow (I): short-time existence and nonlinear stability

Wen-Rong Dai De-Xing Kong Kefeng Liu

Differential Geometry mathscidoc:1912.43065

Pure and Applied Mathematics Quarterly, 6, (2), 331-359, 2010.4
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[182] Positivity and vanishing theorems for ample vector bundles

Kefeng Liu Xiaofeng Sun Xiaokui Yang

Differential Geometry mathscidoc:1912.43063

arXiv preprint arXiv:1006.1465, 2010.6
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[183] Wave character of metrics and hyperbolic geometric flow

De-Xing Kong Kefeng Liu

Differential Geometry mathscidoc:1912.43056

Journal of Mathematical Physics, 48, (10), 103508, 2007.10
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[184] A formula of two-partition Hodge integrals

Chiu-Chu Melissa Liu Kefeng Liu Jian Zhou

Differential Geometry mathscidoc:1912.43055

Journal of the American Mathematical Society, 20, (1), 149-184, 2007
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[185] On elliptic genera and theta-functions

Kefeng Liu

Differential Geometry mathscidoc:1912.43053

Topology, 35, (3), 617-640, 1996.7
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[186] Canonical metrics on the moduli space of Riemann surfaces II

Kefeng Liu Xiaofeng Sun ShingTung Yau

Differential Geometry mathscidoc:1912.43052

Journal of Differential Geometry, 69, (1), 163-216, 2005
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[187] Canonical metrics on the moduli space of Riemann surfaces. I

Kefeng Liu Xiaofeng Sun Shing-Tung Yau

Differential Geometry mathscidoc:1912.43051

J. Differential Geom, 68, (3), 571-637, 2004.1
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[188] On the asymptotic expansion of Bergman kernel

Xianzhe Dai Kefeng Liu Xiaonan Ma

Differential Geometry mathscidoc:1912.43050

Journal of Differential Geometry, 72, (1), 1-41, 2006
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[189] Weakly trapped submanifolds in standard static spacetimes

Allan Freitas Universidade Federal da Paraíba Henrique F. de Lima Universidade Federal da Paraíba Eraldo A. Lima Universidade Federal da Paraíba Márcio S. Santos Universidade Federal da Paraíba

Differential Geometry mathscidoc:1912.43040

Arkiv for Matematik, 57, (2), 317 – 332, 2019
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[190] Inversion d’opérateurs de courbures au voisinage d’une métrique Ricci parallèle II: variétés non compactes à géométrie bornée

Erwann Delay Avignon Université

Differential Geometry mathscidoc:1912.43016

Arkiv for Matematik, 56, (2), 285 – 297, 2018
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[191] Fat sub-Riemannian symmetric spaces: the nilpotent case

D. M. Almeida Universidade Federal de Uberlandia E. Falbel Université Pierre et Marie Curie

Differential Geometry mathscidoc:1912.43012

Arkiv for Matematik, 56, (2), 207-228, 2018
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[192] Bounds on the topology and index of minimal surfaces

William H. Meeks, III University of Massachusetts Joaquín Pérez University of Granada Antonio Ros University of Granada

Differential Geometry mathscidoc:1911.43043

Acta Mathematica, 223, (1), 113 – 149, 2019
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[193] Helicoidal minimal surfaces of prescribed genus

David Hoffman Stanford University Martin Traizet Universit´e Fran¸cois Rabelais Brian White Stanford University

Differential Geometry mathscidoc:1911.43035

Acta Mathematica, 216, (2), 217-323, 2016
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[194] Convergence and divergence of formal CR mappings

Bernhard Lamel Universität Wien Nordine Mir Texas A&M University at Qatar

Differential Geometry mathscidoc:1911.43023

Acta Mathematica, 220, (2), 367 – 406, 2018
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[195] Gauduchon metrics with prescribed volume form

Gábor Székelyhidi University of Notre Dame Valentino Tosatti Northwestern University Ben Weinkove Northwestern University

Differential Geometry mathscidoc:1911.43017

Acta Mathematica, 219, (1), 181 – 211, 2017
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[196] Singular Ricci flows I

Bruce Kleiner Courant Institute of Mathematical Sciences John Lott University of California at Berkeley

Differential Geometry mathscidoc:1911.43015

Acta Mathematica, 219, (1), 65 – 134, 2017
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[197] Correction to “On the density of geometrically finite Kleinian groups”

Jeffrey F. Brock Brown University Kenneth W. Bromberg University of Utah

Differential Geometry mathscidoc:1911.43013

Acta Mathematica, 219, (1), 17-19, 2017
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[198] Asymptotic behavior of flows by powers of the Gaussian curvature

Simon Brendle Columbia University Kyeongsu Choi Columbia University Panagiota Daskalopoulos Columbia University

Differential Geometry mathscidoc:1911.43012

Acta Mathematica, 219, (1), 1 – 16, 2017
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[199] The Lp-Alekesandrov problem for Lp-integral curvature

Yong Huang Hunan university Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Differential Geometry mathscidoc:1911.10001

J. Differential Geom., 110, (1), 1-29, 2018
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[200] Instability of spherical naked singularities of a scalar field under gravitational perturbations

Junbin Li Sun Yat-sen University Jue Liu Sun Yat-sen University

Analysis of PDEs Differential Geometry mathscidoc:1911.03002

2018
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[201] On the local extension of the future null infinity

Junbin Li Sun Yat-sen University Xiping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1911.43007

j. differential geometry, 110, 73-133, 2018
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[202] A discrete uniformization theorem for polyhedral surfaces

Xianfeng Gu Stony Brook University Feng Luo Rutgers University Jian Sun Nanjing Foreign Language School Tianqi Wu New York University

Differential Geometry Convex and Discrete Geometry mathscidoc:1911.03001

Distinguished Paper Award in 2019

j. differential geometry, 109, (2), 223-256, 2018
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[203] A new complete Calabi-Yau metric on C^3

Yang Li Institute for Advanced Study

Differential Geometry TBD mathscidoc:1911.43003

Gold Award Paper in 2020

Inventiones mathematicae, 207, 1-34, 2019.7
[ Download ] [ 2019-11-12 22:45:38 uploaded by YangLi ] [ 430 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[204] U(1)-decomposable self-dual manifolds

Yat Sun Poon

Differential Geometry mathscidoc:1910.43844

Differential Geometry and its Applications, 10, (2), 107-119, 1999.3
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[205] Lie bialgebroids of generalized CRF-manifolds

Yat Sun Poon Assa Wade

Differential Geometry mathscidoc:1910.43842

Comptes Rendus Mathematique, 348, 919-922, 2010.8
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[206] Generalised connected sums of quaternionic manifolds

Yat Sun Poon Andrew Swann

Differential Geometry mathscidoc:1910.43836

Annals of Global Analysis and Geometry, 13, (1), 79-90, 1995.2
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[207] Corrigendum: compact Einstein-Weyl manifolds with large symmetry group

Anders Bisbjerg Madsen Henrik Pedersen Yat Sun Poon Andrew Swann

Differential Geometry mathscidoc:1910.43834

Duke Mathematical Journal, 100, (1), 167, 1999.10
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[208] A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds

Yat Sun Poon John Simanyi

Differential Geometry mathscidoc:1910.43831

Complex Manifolds, 4, (1), 137-154, 2017.2
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[209] Torus symmetry of compact self-dual manifolds

Yat Sun Poon

Differential Geometry mathscidoc:1910.43830

Geometriae Dedicata, 60, (1), 49-64, 1996.3
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[210] Application of Elementary Differential Geometry to Influence Analysis

Yat Sun Poon Wai-Yin Poon

Differential Geometry mathscidoc:1910.43829

2012
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[211] Potential functions of HKT spaces

Yat Sun Poon Andrew Swann

Differential Geometry mathscidoc:1910.43816

Classical and Quantum Gravity, 18, (21), 4711-4714, 2001.10
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[212] A note on rigidity of 3-Sasakian manifolds

Henrik Pedersen Yat Sun Poon

Differential Geometry mathscidoc:1910.43815

Proceedings of the American Mathematical Society, 127, (10), 3027-3034, 1999
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[213] Influential observations in the estimation of mean vector and covariance matrix

WaiYin Poon Yat Sun Poon

Differential Geometry mathscidoc:1910.43812

British Journal of Mathematical and Statistical Psychology, 55, (1), 177-192, 2002.5
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[214] The Hitchin-Thorpe inequality for Einstein-Weyl manifolds

Henrik Pedersen Yat Sun Poon Andrew Swann

Differential Geometry mathscidoc:1910.43809

Bulletin of the London Mathematical Society, 26, (2), 191-194, 1994.3
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[215] Einstein-Weyl deformations and submanifolds

Henrik Pedersen Yat Sun Poon Andrew Swann

Differential Geometry mathscidoc:1910.43804

International Journal of Mathematics, 7, (5), 705-719, 1996.10
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[216] Deformation of 2-step nilmanifolds with abelian complex structures

C Maclaughlin Henrik Pedersen Yat Sun Poon Simon Salamon

Differential Geometry mathscidoc:1910.43795

Journal of the London Mathematical Society, 73, (1), 173-193, 2006.2
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[217] Compact Einstein-Weyl manifolds with large symmetry group

Anders Bisbjerg Madsen Henrik Pedersen Yat Sun Poon Andrew Swann

Differential Geometry mathscidoc:1910.43794

1995
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[218] Conformal normal curvature and assessment of local influence

WY Poon Yat Sun Poon

Differential Geometry mathscidoc:1910.43789

Journal of the Royal Statistical Society: Series B (Statistical Methodology), 61, (1), 51-61, 1999
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[219] Chord shortening flow and a theorem of Lusternik and Schnirelmann

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43019

Pacific Journal of Mathematics, 299, (2), 469-488, 2019.5
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[220] On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry mathscidoc:1910.43018

Proceedings of the American Mathematical Society, 140, (8), 2843-2854, 2012
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[221] Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disk

Nikolaos Kapouleas Brown University Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43015

arXiv preprint arXiv:1709.08556, 2017.9
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[222] A sharp comparison theorem for compact manifolds with mean convex boundary

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry mathscidoc:1910.43014

The Journal of Geometric Analysis, 24, (3), 1490-1496, 2014.7
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[223] Min-max theory for free boundary minimal hypersurfaces I-regularity theory

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43013

arXiv preprint arXiv:1611.02612, 2016.11
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[224] Equidistribution of minimal hypersurfaces for generic metrics

Fernando Coda Maques Princeton University Andre Neves University of Chicago Antoine Song University of California, Berkeley

Differential Geometry mathscidoc:1909.10003

Best Paper Award in Mathematics in 2019

Inventiones Mathematicae, 2018
[ Download ] [ 2019-09-29 14:24:21 uploaded by antoinesong ] [ 454 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[225] Dirac spectral flow on contact three manifolds II: Thurston--Winkelnkemper contact forms

Chung-Jun Tsai NTU

Differential Geometry mathscidoc:1909.10002

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[226] Dirac spectral flow on contact three manifolds I: eigensection estimates and spectral asymmetry

Chung-Jun Tsai NTU

Differential Geometry mathscidoc:1909.10001

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[227] Translation lengths of parabolic isometries of CAT(0) spaces and their applications

Yunhui Wu Tsinghua University

Differential Geometry mathscidoc:1909.43007

The Journal of Geometric Analysis, 28, (1), 375-392, 2018
[ Download ] [ 2019-09-04 11:29:05 uploaded by wuyh ] [ 593 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[228] The Weil-Petersson curvature operator on the universal Teichmüller space

Zheng Huang The City University of New York Yunhui Wu Tsinghua University

Differential Geometry mathscidoc:1909.43006

Mathematische Annalen, 373, 1-36, 2019
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[229] Self-similar solutions of curvature flows in warped products

Shanze Gao Tsinghua University Hui Ma Tsinghua University

Differential Geometry mathscidoc:1908.10015

Differential Geom. Appl., 62, 234–252, 2019
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[230] An Energy functional for Lagrangian tori in $\mathbb{C}P^2$

Hui Ma Tsinghua University Andrey Mironov Novosibirsk State University Dafeng Zuo University of Science and Technology of China

Differential Geometry mathscidoc:1908.10014

Ann Glob Anal Geom, 53, 583-595, 2018
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[231] Characterizations of umbilic hypersurfaces in warped product manifolds

Shanze Gao University of Science and Technology of China Hui Ma Tsinghua University

Differential Geometry mathscidoc:1908.10013

2019.2
[ Download ] [ 2019-08-28 11:01:22 uploaded by Laxpair ] [ 295 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[232] Generalized Ricci flow II existence for complete noncompact manifolds

李逸 Southeast University

Differential Geometry mathscidoc:1908.10012

[ Download ] [ 2019-08-26 22:16:37 uploaded by yilicms ] [ 324 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[233] New Pinching Estimates for Inverse Curvature Flows in Space Forms

Yong Wei Australian National University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1908.10010

The Journal of Geometric Analysis, 29, (2), 1555-1570, 2019.4
[ Download ] [ 2019-08-20 06:26:49 uploaded by WeiYong ] [ 327 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[234] Volume preserving flow by powers of k-th mean curvature

Ben Andrews Australian National University Yong Wei Australian National University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1908.10009

2017.8
[ Download ] [ 2019-08-19 18:48:24 uploaded by WeiYong ] [ 384 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[235] On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space

Yong Wei Australian National University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1908.10008

Calculus of Variations and Partial Differential Equations, 57, (2), 46, 2018.4
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[236] Laplacian flow for closed G2 structures: Shi-type estimates, uniqueness and compactness

Jason D. Lotay University of Oxford Yong Wei Australian National University

Differential Geometry mathscidoc:1908.10007

Geometric and Functional Analysis, 27, (1), 165-233, 2017.2
[ Download ] [ 2019-08-19 18:16:43 uploaded by WeiYong ] [ 462 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[237] Stability of torsion-free G2 structures along the Laplacian flow

Jason D. Lotay University of Oxford Yong Wei Australian National University

Differential Geometry mathscidoc:1908.10006

Journal of Differential Geometry, 111, (3), 495-526, 2019.3
[ Download ] [ 2019-08-19 18:06:42 uploaded by WeiYong ] [ 350 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[238] Partial regularity of harmonic maps from Alexandrov spaces

Huabin Ge Renmin University of China Wenshuai Jiang Zhejiang University Hui-Chun Zhang Sun Yat-sen University

Differential Geometry Metric Geometry mathscidoc:1908.10005

[ Download ] [ 2019-08-16 23:48:45 uploaded by Huichun_Zhang ] [ 504 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[239] Harmonic Maps Between Alexandrov Spaces

Jia-Cheng Huang Sun Yat-sen University Hui-Chun Zhang Sun Yat-sen University

Differential Geometry Metric Geometry mathscidoc:1908.10004

J. Geom. Anal, 27, 1355-1392
[ Download ] [ 2019-08-16 23:37:18 uploaded by Huichun_Zhang ] [ 404 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[240] Rigidity of manifolds with Bakry–Emery Ricci curvature bounded below

Yan-Hui Su Fuzhou University Hui-Chun Zhang Sun Cat-sen University

Differential Geometry mathscidoc:1908.10003

Geom Dedicata, 160, 321-331
[ Download ] [ 2019-08-16 23:32:29 uploaded by Huichun_Zhang ] [ 456 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[241] Quantitative gradient estimates for harmonic maps into singular spaces

Hui-Chun Zhang Sun Yat-sen University Xiao Zhong University of Helsinki Xi-Ping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1908.10002

SCIENCE CHINA Mathematics
[ Download ] [ 2019-08-16 23:24:01 uploaded by Huichun_Zhang ] [ 418 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[242] Super McShane Identity

Yi Huang YMSC, Tsinghua University Robert C. Penner Institut des Hautes Études Scientifiques Anton M. Zeitlin Louisiana State University

Differential Geometry Mathematical Physics Representation Theory mathscidoc:1908.10001

[ Download ] [ 2019-08-03 14:06:39 uploaded by yihuang ] [ 562 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[243] Rigidity theorems for submetries in positive curvature

Xiaoyang Chen Karsten Grove

Differential Geometry mathscidoc:1907.10001

Distinguished Paper Award in 2019

Advances in Mathematics, 289, 784-796, 2016
[ Download ] [ 2019-07-07 19:32:01 uploaded by Xiaoyang ] [ 442 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[244] Variation and rigidity of quasi-local mass

Siyuan Lu Rutgers University Pengzi Miao University of Miami

Differential Geometry mathscidoc:1904.10003

[ Download ] [ 2019-04-27 02:38:25 uploaded by Siyuan ] [ 351 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[245] Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature

Siyuan Lu McGill University Pengzi Miao University of Miami

Differential Geometry mathscidoc:1904.10002

Best Paper Award in 2019

[ Download ] [ 2019-04-27 02:33:12 uploaded by Siyuan ] [ 456 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[246] Inverse curvature flow in anti-de Sitter-Schwarzschild manifold

Siyuan Lu McGill University

Analysis of PDEs Differential Geometry mathscidoc:1904.03007

[ Download ] [ 2019-04-27 02:28:47 uploaded by Siyuan ] [ 351 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[247] On Weyl's embedding problem in Riemannian manifolds

Siyuan Lu Rutgers University

Analysis of PDEs Differential Geometry mathscidoc:1904.03006

[ Download ] [ 2019-04-27 02:24:59 uploaded by Siyuan ] [ 486 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[248] Sharp nonexistence results for curvature equations with four singular sources on rectangular tori

Zhijie Chen Tsinghua University Chang-Shou Lin Taiwan University

Differential Geometry mathscidoc:1904.10001

American Journal of Mathematics, 1269-1300, 2020
[ Download ] [ 2019-04-12 09:12:23 uploaded by zjchen ] [ 431 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[249] A constructions of infinitely many solutions to the Strominger system

Teng Fei Columbia University Zhijie Huang Columbia University Sebastien Picard Columbia University

Differential Geometry mathscidoc:1903.10001

Journal of Differential Geometry
[ Download ] [ 2019-03-21 08:57:31 uploaded by boilliod ] [ 374 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[250] Fukaya's conjecture on $S^1$-equivariant de Rham complex

Ziming Nikolas Ma The Chinese University of Hong Kong

Differential Geometry mathscidoc:1901.10003

[ Download ] [ 2019-01-28 22:54:50 uploaded by zimingnikolas ] [ 444 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[251] The rigidity theorems for Lagrangian self shrinkers

Qi Ding Fudan University Yuanlong Xin Fudan University

Differential Geometry mathscidoc:1901.10002

J. Reine. Angew. Math., 692, 109-123, 2014
[ Download ] [ 2019-01-19 00:14:03 uploaded by qiding ] [ 418 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[252] The rigidity theorems of self shrinkers

Qi Ding Fudan University Yuanlong Xin Fudan University

Differential Geometry mathscidoc:1901.10001

Trans. A.M.S., 366, 5067-5085, 2014
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[253] On the Weil-Petersson curvature of the moduli space of Riemann surfaces of large genus

Yunhui Wu Tsinghua University

Differential Geometry mathscidoc:1811.43003

Distinguished Paper Award in 2018

International Mathematics Research Notices,, 2017, (4), 2017
[ Download ] [ 2018-11-26 09:53:13 uploaded by yauawardadmin ] [ 412 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[254] Curvature estimates for immersed hypersurfaces in Riemannian manifolds

Pengfei Guan McGill University Siyuan Lu McGill University

Analysis of PDEs Differential Geometry mathscidoc:1811.03001

[ Download ] [ 2018-11-23 01:12:18 uploaded by Siyuan ] [ 513 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[255] Sharp Davies-Gaffney-Grigor’yan lemma on graphs

Frank Bauer Harvard University Bobo Hua Fudan University Shing-Tung Yua Harvard University

Differential Geometry mathscidoc:1811.10001

Distinguished Paper Award in 2018

Math. Ann., 368, (3), 1429–1437, 2017
[ Download ] [ 2018-11-02 23:01:19 uploaded by bobohua ] [ 430 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[256] Starshaped compact hypersurfaces with prescribed Weingarden curvature in warped product manifolds

Daguang Chen Tsinghua University Haizhong Li Tsinghua University Zhizhang Wang Fudan University

Analysis of PDEs Differential Geometry mathscidoc:1810.03003

Distinguished Paper Award in 2018

Calc. Var. Partial Differential Equations, 57, (2), 2018.2
[ Download ] [ 2018-10-30 19:03:08 uploaded by Daguang ] [ 439 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[257] Quermassintegral preserving curvature flow in hyperbolic space

Ben Andrews Australian National University Yong Wei Australian National University

Analysis of PDEs Differential Geometry mathscidoc:1810.03002

Distinguished Paper Award in 2018

Geometric and Functional Analysis, 28, 1183–1208, 2018.10
[ Download ] [ 2018-10-30 17:05:19 uploaded by WeiYong ] [ 417 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[258] The Fu–Yau equation with negative slope parameter

Duong Phong Columbia University Sebastien Picard Columbia University Xiangwen Zhang University of California, Irvine

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry mathscidoc:1810.03001

Distinguished Paper Award in 2018

[ Download ] [ 2018-10-30 14:45:57 uploaded by xiangwen ] [ 560 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[259] L2-estimates on p-convex Riemannian manifolds

Qingchun Ji Fudan University Xusheng Liu Fudan University Guangsheng Yu Fudan University

Differential Geometry mathscidoc:1810.08001

Distinguished Paper Award in 2018

Advances in Mathematics, 253, 234-280, 2014.3
[ Download ] [ 2018-10-29 19:06:28 uploaded by ygsh ] [ 391 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[260] Atiyah and Todd classes arising from integrable distributions

Zhuo Chen Tsinghua University MAOSONG XIANG Peking University Ping Xu Pennsylvania State University

Differential Geometry mathscidoc:1809.10001

[ Download ] [ 2018-09-07 14:06:10 uploaded by zhuo_chen ] [ 711 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[261] Fukaya's conjecture on Witten's twisted A_\infty structures

Kaileung Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Ziming Nikolas Ma The Chinese University of Hong Kong

Differential Geometry mathscidoc:1807.10001

50, 2017.10
[ Download ] [ 2018-07-25 11:14:37 uploaded by zimingnikolas ] [ 544 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[262] Calabi-Yau manifolds with isolated conical singularities

Hans-Joachim Hein Fordham University Song Sun Stony Brook University

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics Symplectic Geometry mathscidoc:1806.01002

Distinguished Paper Award in 2018

Publications mathématiques de l'IHÉS, 126, (1), 73-130, 2017.11
[ Download ] [ 2018-06-27 17:39:48 uploaded by hhein ] [ 1067 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[263] Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1804.03011

[ Download ] [ 2018-04-30 14:38:09 uploaded by mutaowang ] [ 556 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[264] A strong stability condition on minimal submanifolds and its implications

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1804.03010

[ Download ] [ 2018-04-30 14:31:24 uploaded by mutaowang ] [ 513 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[265] A volume preserving flow and the isoperimetric problem in warped product spaces

Pengfei Guan McGill University Junfang Li University of Alabama Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology Metric Geometry mathscidoc:1804.03009

[ Download ] [ 2018-04-30 14:24:26 uploaded by mutaowang ] [ 572 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[266] Kahler-Ricci flow with unbounded curvature

Huang, Shaochuang Yau Mathematical Sciences Center Tam, Luen-Fai The Chinese University of Hong Kong

Differential Geometry mathscidoc:1804.10002

Distinguished Paper Award in 2018

American Journal of Mathematics, 140, (1), 189-220, 2018.2
[ Download ] [ 2018-04-29 16:50:53 uploaded by KomaWong ] [ 603 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[267] 3-manifolds with nonnegative Ricci curvature

Gang Liu Northwestern University

Differential Geometry mathscidoc:1804.10001

Distinguished Paper Award in 2018

Inventiones
[ Download ] [ 2018-04-05 01:03:04 uploaded by gangliu ] [ 639 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[268] Li-Yau inequality on graphs

Frank Bauer Harvard University Paul Horn University of Denver Yong Lin Renmin University of China Gabor Lippner Northeastern University Dan Mangoubi Hebrew University Shing-Tung Yau Harvard University

Combinatorics Differential Geometry mathscidoc:1804.06004

Journal of differential geometry, 99, 359-405, 2015.6
[ Download ] [ 2018-04-03 14:27:49 uploaded by linyong01 ] [ 464 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[269] Poisson 2 groups

Zhuo Chen Tsinghua University Mathieu Stienon Pennsylvania State University Ping Xu Pennsylvania State University

Differential Geometry mathscidoc:1803.10007

Journal of Differential Geometry, 94, (2), 209-240, 2013.6
[ Download ] [ 2018-03-30 21:42:25 uploaded by zhuo_chen ] [ 416 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[270] On regular courant algebroids

Zhuo Chen Tsinghua University Mathieu Stienon Pennsylvania State University Ping Xu Pennsylvania State University

Differential Geometry Symplectic Geometry mathscidoc:1803.10006

JOURNAL OF SYMPLECTIC GEOMETRY, 11, (1), 1-24, 2013.1
[ Download ] [ 2018-03-30 21:38:07 uploaded by zhuo_chen ] [ 702 downloads ] [ 0 comments ]