Differential Geometry

[1] Symplectic Flatness and Twisted Primitive Cohomology

Li-Sheng Tseng University of California, Irvine Jiawei Zhou Yau Mathematical Sciences Center, Tsinghua University

Differential Geometry Symplectic Geometry Algebraic Topology and General Topology mathscidoc:2209.10001

The Journal of Geometric Analysis, 32, (282), 2022.8
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[2] 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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[3] 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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[4] 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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[5] 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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[6] 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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[7] 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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[8] 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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[9] 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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[10] 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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[11] 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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[12] 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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[13] 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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[14] 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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[15] 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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[16] 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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[17] 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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[18] 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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[19] 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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[20] 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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[21] 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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[22] 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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[23] 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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[24] 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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[25] 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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