Differential Geometry

[1] Proof of the angular momentum-mass inequality for axisymmetric black holes

Sergio Dain Universidad Nacional de C´ordoba

Differential Geometry mathscidoc:1609.10063

Journal of Differential Geometry, 79, (1), 33-67, 2008
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[2] Non-exact symplectic cobordisms between contact 3-manifolds

Chris Wendl University College London

Differential Geometry mathscidoc:1609.10328

Journal of Differential Geometry, 95, (1), 121-182, 2013
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[3] The Unified Discrete Surface Ricci flow

Min Zhang Stony Brook University Ren Guo Oregon State Univeristy Wei Zeng School of Computing and Information Sciences, Florida International University Feng Luo Rutgers University Shing Tung Yau Harvard University Xianfeng Gu Stony Brook Univerisity

Computational Geometry Differential Geometry Geometric Modeling and Processing Convex and Discrete Geometry mathscidoc:1612.01001

Distinguished Paper Award in 2017

Graphical Models/Geometric Modeling and Processing 2014, 76, (5), 321-339, 2014.9
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[4] A glimpse of the SYZ conjecture and related developments

Kwokwai Chan The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10003

ICCM Not., 4, (1), 14-28, 2016
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[5] Closed Weingarten hypersurfaces in space forms

Claus Gerhardt Ruprecht-Karls-Universität, Institut für Angewandte Mathematik

Differential Geometry mathscidoc:1610.10036

Geometric Analysis and the Calculus of Variations, International Press, 71-98, 1996
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[6] 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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[7] Ricci Curvatures on Hermitian manifolds

杨晓奎 MCM of Chinese Academy of Science Kefeng Liu UCLA

Differential Geometry mathscidoc:1608.10049

Tran. AMS
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[8] Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

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

Analysis of PDEs Differential Geometry Convex and Discrete Geometry mathscidoc:1702.03003

Silver Award Paper in 2017

Acta Mathematica, 216, (2), 325–388, 2016.11
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[9] Toric k¨ahler metrics seen from infinity,quantization and compact tropical amoebas

Thomas Baier da Universidade do Porto Carlos Florentino Instituto Superior T´ecnico Jose M. Mourao Instituto Superior T´ecnico Joao P. Nunes Instituto Superior T´ecnico

Differential Geometry mathscidoc:1609.10243

Journal of Differential Geometry, 89, (3), 411-454, 2011
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[10] Weighted projective embeddings, stability of orbifolds, and constant scalar curvature kahler metrics

Julius Ross University of Cambridge Richard Thomas Imperial College

Differential Geometry mathscidoc:1609.10221

Journal of Differential Geometry, 88, (1), 109-159, 2011
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[11] Riemannian geometry and geometric analysis

Jrgen Jost Shing-Tung Yau

Differential Geometry mathscidoc:1912.43461

42005, 2008.4
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[12] Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds

Akito Futaki Tokyo Institute of Technology Hajime Ono Tokyo University of Science Guofang Wang University Magdeburg

Differential Geometry mathscidoc:1609.10150

Journal of Differential Geometry, 83, (3), 585-635, 2009
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[13] 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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[14] Energy, momentum, and center of mass in general relativity

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10025

2016.5
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[15] 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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[16] Deformations of generalized complex and generalized kahler structures

Ryushi Goto Osaka University

Differential Geometry mathscidoc:1609.10172

Journal of Differential Geometry, 84, (3), 525-560, 2010
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[17] 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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[18] K ̈ahler–Einstein metrics of negative Ricci curvature on general quasi–projective manifolds

Damin Wu University of Connecticut

Differential Geometry mathscidoc:1610.10020

communications in analysis and geometry, 16, (2), 395–435, 2008
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[19] Möbius homogeneous hypersurfaces with two distinct principal curvatures in$S$^{$n$+1}

Tongzhu Li Department of Mathematics, Beijing Institute of Technology Xiang Ma LMAM, School of Mathematical Sciences, Peking University Changping Wang LMAM, School of Mathematical Sciences, Peking University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.10010

Arkiv for Matematik, 51, (2), 315-328, 2011.4
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[20] 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
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[21] Geometry of Hermitian manifolds

Kefeng Liu UCLA 杨晓奎 Morningsider center of Mathematics, AMSS, CAS

Differential Geometry mathscidoc:1610.10009

Int. J. Math., 23, (6), 2012
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[22] Curvature flows in the sphere

Claus Gerhardt Ruprecht-Karls-Universität, Institut für Angewandte Mathematik

Differential Geometry mathscidoc:1609.10341

JDG, 100, (2), 301-347, 2015
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[23] Curvature estimates for Weingarten hypersurfaces in Riemannian manifolds

Claus Gerhardt Ruprecht-Karls-Universität, Institut für Angewandte Mathematik

Differential Geometry mathscidoc:1610.10002

Adv. Calc. Var., 1, 123 - 132, 2008
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[24] Bernstein theorem and regularity for a class of monge-amp`ere equations

Huaiyu Jian Tsinghua University Xu-Jia Wang Australian National University

Differential Geometry mathscidoc:1609.10305

Journal of Differential Geometry, 93, (3), 431-469, 2013
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[25] Compactifications of symmetric spaces

Armand Borel Institute for Advanced Studies Lizhen Ji Zhejiang University

Differential Geometry mathscidoc:1609.10001

Journal of Differential Geometry, 75, 1-56, 2007
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[26] 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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[27] Scattering diagrams from asymptotic analysis on Maurer-Cartan equations

Kwokwai 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:1606.10001

J. Eur. Math. Soc. (JEMS), 24, (3), 773–849, 2022.4
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[28] Discrete conformal variations and scalar curvature on piecewise flat two- and three-dimensional manifolds

TWO- AND THREE-DIMENSIONAL MANIFOLDS University of Arizona

Differential Geometry mathscidoc:1609.10208

Journal of Differential GeometryJournal of Differential Geometry, 87, (2), 201-237, 2011
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[29] Almost etale resolution of foliations

Michael McQuillan Universit`a degli Studi di Roma Daniel Panazzolo Informatiques et Applications

Differential Geometry mathscidoc:1609.10332

Journal of Differential Geometry, 95, (2), 279-319, 2013
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[30] A differential-geometric approach to deformations of pairs (X,E)

Kwokwai Chan The Chinese University of Hong Kong Yat-Hin Suen The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10002

Complex Manifolds, 3, 16-40, 2016
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[31] A general existence proof for non-linear elliptic equations in semi-Riemannian spaces

Claus Gerhardt Ruprecht-Karls-Universität, Institut für Angewandte Mathematik

Differential Geometry mathscidoc:1610.10001

Amer.J. Math., 131, (6), 1569 - 1588, 2009
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[32] Pinching estimates for dual flows in hyperbolic and de Sitter space

Claus Gerhardt Ruprecht-Karls-Universität, Institut für Angewandte Mathematik

Differential Geometry mathscidoc:1609.10344

2016
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[33] Inverse Curvature Flows in Hyperbolic Space

Claus Gerhardt Ruprecht-Karls-Universität, Institut für Angewandte Mathematik

Differential Geometry mathscidoc:1609.10342

JDG, 89, (3), 487-527, 2011
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[34] Diffeomorphism of simply connected algebraic surfaces

Fabrizio Catanese Universit¨at Bayreuth, NWII Bronislaw Wajnryb Technical University of Rzeszow

Differential Geometry mathscidoc:1609.10020

Journal of Differential Geometry, 76, (2), 177-213, 2007
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[35] Non-algebraic hyperkahler manifolds

Frederic Campana Universit´e de Nancy Keiji Oguiso Osaka University Thomas Peternell Universit¨at Bayreuth

Differential Geometry mathscidoc:1609.10187

Journal of Differential Geometry, 85, (3), 397-424, 2010
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[36] Kahler c-spaces and quadratic bisectional curvature

Albert Chau The University of British Columbia Luen-Fai Tam The Chinese University of Hong Kong

Differential Geometry mathscidoc:1609.10320

Journal of Differential Geometry, 94, (3), 409-468, 2013
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[37] 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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[38] Ozsváth-Szabó invariants and tight contact three-manifolds, II

Paolo Lisca Universit`a di Pisa A. I. Stipsicz Hungarian Academy of Sciences

Differential Geometry mathscidoc:1609.10003

Journal of Differential Geometry, 75, 109-141, 2007
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[39] Gross fibrations, SYZ mirror symmetry, and open Gromov-Witten invariants for toric Calabi-Yau orbifolds

Kwokwai Chan The Chinese University of Hong Kong Cheol-Hyun Cho Seoul National University Siu-Cheong Lau Harvard University Hsian-Hua Tseng Ohio State University

Differential Geometry mathscidoc:1608.10001

J. Differential Geom., 103, (2), 207-288, 2016
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[40] 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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[41] Big vector bundles and complex manifolds with semi-positive tangent bundles

杨晓奎 Morningside Center of Mathematics, AMSS, CAS

Differential Geometry mathscidoc:1610.10007

Math. Ann.
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[42] Lipschitz continuity of harmonic maps between Alexandrov spaces

Hui-Chun Zhang Sun Yat-sen University Xi-Ping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1609.10096

Silver Award Paper in 2020

Invent. math., 211, (3), 863-934, 2018.3
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[43] Backlund transformations, ward solitons,and unitons

Bo Dai Peking University Chuu-Lian Terng Northeastern University

Differential Geometry mathscidoc:1609.10002

Journal of Differential Geometry, 75, 57-108, 2007
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[44] 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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[45] Orlicz centroid bodies

Erwin Lutwak Polytechnic Institute of NYU Deane Yang Polytechnic Institute of NYU Gaoyong Zhang Polytechnic Institute of NYU

Differential Geometry mathscidoc:1609.10165

Journal of Differential Geometry, 84, (2), 365-387, 2010
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[46] 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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[47] The round sphere minimizes entropy among closed self-shrinkers

Tobias Holck Colding MIT Dept. of Mathematics Tom Ilmanen ETH Zentrum William P. Minicozzi II MIT Dept. of Mathematics Brian White Stanford University

Differential Geometry mathscidoc:1609.10326

Journal of Differential Geometry, 95, (1), 53-69, 2013
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[48] Gromov-Hausdorff limits of Kahler manifolds and the finite generation conjecture

Gang Liu Northwestern University

Differential Geometry mathscidoc:1608.10012

Distinguished Paper Award in 2018

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[49] 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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[50] Approximations and examples of singular Hermitian metrics on vector bundles

Genki Hosono The University of Tokyo

Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43012

Arkiv for Matematik, 55, 2017
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[51] Fukaya's conjecture on $S^1$-equivariant de Rham complex

Ziming Nikolas Ma The Chinese University of Hong Kong

Differential Geometry mathscidoc:1901.10003

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[52] A Minkowski type inequality for hypersurfaces in the Anti-deSitter-Schwarzschild manifold

Simon Brendle Stanford University Pei-Ken Hung Columbia University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10034

Best Paper Award in 2018

Communications on Pure and Applied Mathematics , 69, (1), 124-144, 2016.1
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[53] The Ooguri-Vafa metric, holomorphic discs and wall-crossing

Kwokwai Chan Harvard University

Differential Geometry mathscidoc:1608.10006

Math. Res. Lett., 17, (3), 2010.6
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[54] C^{2,\alpha} estimates for nonlinear elliptic equations in complex and almost complex geometry

Valentino Tosatti Northwestern University Ben Weinkove Northwestern University Yu Wang Northwestern University 杨晓奎 Morningside Center of Mathematics, AMSS, CAS

Differential Geometry mathscidoc:1610.10005

Cal. Var. PDE, 53, 431-453, 2015
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[55] Hermitian manifolds with semi-positive holomorphic sectional curvature

杨晓奎 Morningside Center of Mathematics, AMSS, CAS

Differential Geometry mathscidoc:1610.10011

Math. Res. Lett., 23, (3), 2016
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[56] Closed magnetic geodesics on $S^2$

Matthias Schneider Ruprecht-Karls-Universit¨at

Differential Geometry mathscidoc:1609.10211

Journal of Differential Geometry, 87, (2), 343-388, 2011
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[57] Minkowski formulae and Alexandrov theorems in spacetime

Mu-Tao Wang Columbia University Ye-Kai Wang Columbia University Xiangwen Zhang University of California, Irvine

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10014

2014.9
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[58] Gromov-Hausdorff limits of Kahler manifolds with bisectional curvature lower bound II

Gang Liu Northwestern University

Differential Geometry mathscidoc:1704.10002

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[59] Locally strongly convex affine hypersurfaces with parallel cubic form

Zejun Hu, Zhengzhou University Haizhong Li Tsinghua University Luc Vrancken Katholieke Universiteit Leuven

Differential Geometry mathscidoc:1609.10209

Journal of Differential Geometry, 87, (2), 239-307, 2011
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[60] Constant mean curvature surfaces in sub-riemannian geometry

Robert K. Hladky Scott D. Pauls

Differential Geometry mathscidoc:1609.10065

Journal of Differential Geometry, 79, (1), 111-139, 2008
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[61] Monge–Ampère equations in big cohomology classes

Sébastien Boucksom Institut de Mathématiques de Jussieu, CNRS–Université Pierre et Marie Curie Philippe Eyssidieux Institut Fourier, Université Grenoble 1 Vincent Guedj Institut de Mathématiques de Toulouse, Université Paul Sabatier Ahmed Zeriahi Institut de Mathématiques de Toulouse, Université Paul Sabatier

Analysis of PDEs Differential Geometry mathscidoc:1701.03002

Acta Mathematica, 205, (2), 199-262, 2009.1
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[62] The spacetime positive mass theorem in dimensions less than eight

Lan-Hsuan Huang University of Connecticut Dan A. Lee Queens College and CUNY Graduate Center Richard Schoen University of California Michael Eichmair University of Vienna

Differential Geometry mathscidoc:1803.10001

Distinguished Paper Award in 2018

Journal of European Mathematical Society, 18, 83-121, 2016
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[63] On the contact class in heegaard floer homology

Ko Honda University of Southern California William H. Kazez University of Georgia Gordana Matic University of Georgia

Differential Geometry mathscidoc:1609.10141

Journal of Differential Geometry, 83, (2), 289-311, 2009
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[64] 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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[65] A generalization of hamilton’s differential harnack inequality for the ricci flow

Simon Brendle Stanford University

Differential Geometry mathscidoc:1609.10116

Journal of Differential Geometry, 82, (1), 207-227, 2009
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[66] The intrinsic flat distance between riemannian manifolds and other integral current spaces

Christina Sormani CUNY Graduate Center Stefan Wenger University of Illinois at Chicago

Differential Geometry mathscidoc:1609.10207

Journal of Differential Geometry, 87, (1), 117-199, 2011
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[67] 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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[68] 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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[69] 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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[70] On the algebraic fundamental group of surfaces with $K^2\leq 3\chi $

Margarida Mendes Lopes Universidade T´ecnica de Lisboa Rita Pardini Universit`a di Pisa

Differential Geometry mathscidoc:1609.10038

Journal of Differential Geometry, 77, (2), 189-199, 2007
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[71] Ancient solutions of the affine normal flow

John Loftin Rutgers University Mao-Pei Tsui The University of Toledo

Differential Geometry mathscidoc:1609.10049

Journal of Differential Geometry, 78, (1), 113-162, 2008
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[72] On the jumping phenomenon of dim H^q(X_t,E_t)

Kwokwai Chan The Chinese University of Hong Kong Yat-Hin Suen The Chinese University of Hong Kong

Differential Geometry mathscidoc:1606.15002

Asian J. Math., 23, (4), 681-702, 2019.8
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[73] Matrix Li–Yau–Hamilton inequality for the CR heat equation in pseudohermitian (2n+1) -manifolds

Shu-Cheng Chang National Taiwan University Yen-Wen Fan National Taiwan University Jingzhi Tie University of Georgia Chin-Tung Wu National Pingtung University of Education

Differential Geometry mathscidoc:1701.10020

Distinguished Paper Award in 2017

Mathematische Annalen, 360, (1), 266-306, 2014.10
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[74] 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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[75] On the homological mirror symmetry conjecture for pairs of pants

Nick Sheridan MIT

Differential Geometry mathscidoc:1609.10241

Journal of Differential Geometry, 89, (2), 271-367, 2011
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[76] 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
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[77] Compact Kahler manifolds homotopic to negatively curved Riemannian manifolds

杨晓奎 Morningside center of Mathematics, Institute of Mathematics, CAS 陈兵龙 Department of Mathematics, Sun Yat-sen University

Differential Geometry mathscidoc:1609.10343

Math. Ann., 370, 1477-1489, 2018
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[78] On real bisectional curvature \newline for Hermitian manifolds

杨晓奎 MCM, CAS Fangyang Zheng

Differential Geometry mathscidoc:1703.10002

Trans. Am. Math. Soc., 2019
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[79] 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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[80] 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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[81] 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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[82] Geometry of foliations and flows i:almost transverse pseudo-anosov flows and asymptotic behavior of foliations

Sergio R. Fenley Florida State University

Differential Geometry mathscidoc:1609.10089

j. differential geometry, 81, (1), 1-89, 2009
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[83] Fekete points and convergence towards equilibrium measures on complex manifolds

Robert Berman Department of Mathematics, Chalmers University of Technology and University of Göteborg Sébastien Boucksom Institut de Mathématiques, CNRS-Université Pierre et Marie Curie David Witt Nyström Department of Mathematics, Chalmers University of Technology and University of Göteborg

Complex Variables and Complex Analysis Differential Geometry mathscidoc:1701.08001

Acta Mathematica, 207, (1), 1-27, 2009.7
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[84] On the Szegö kernel of Cartan–Hartogs domains

Andrea Loi Dipartimento di Matematica e Informatica, Università di Cagliari Daria Uccheddu Dipartimento di Matematica e Informatica, Università di Cagliari Michela Zedda Dipartimento di Matematica “G. Peano”, Università di Torino

Differential Geometry mathscidoc:1701.10007

Arkiv for Matematik, 1-12, 2014.10
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[85] Scalar curvature and uniruledness on projective manifolds

Gordon Heier University of Houston Bun Wong University of California, Riverside

Differential Geometry mathscidoc:1702.10004

Communications in Analysis and Geometry, 20, (4), 751-764, 2012.10
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[86] Stability conditions on an-singularities

Akira Ishii Hiroshima University Kazushi Ueda Osaka University Hokuto Uehara Tokyo Metropolitan University

Differential Geometry mathscidoc:1609.10156

Journal of Differential Geometry, 84, (1), 87-126, 2010
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[87] Large isoperimetric surfaces in initial data sets

Michael Eichmair Departement Mathematik Jan Metzger Universit¨at Potsdam

Differential Geometry mathscidoc:1609.10311

Journal of Differential Geometry, 94, (1), 159-186, 2013
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[88] ON Bach-flat Gradient Shrinking Ricci Solitons

Huai-Dong Cao Lehigh University Qiang Chen Lehigh University

Differential Geometry mathscidoc:1703.10006

Duke Math. J. , 162, (6), 1149–1169, 2013
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[89] The rest mass of an asymptotically Anti-de Sitter spacetime

Po-Ning Chen Columbia University Pei-Ken Hung Columbia University Mu-Tao Wang Columbia University Shing-Tung Yau Harvard University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10033

2015.9
[ Download ] [ 2016-08-20 17:38:25 uploaded by mutaowang ] [ 1182 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[90] Mirror symmetry for toric Fano manifolds via SYZ transformations

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10008

Advances in Mathematics, 223, (3), 2009.10
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[91] 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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[92] Singular hermitian metrics on holomorphic vector bundles

Hossein Raufi Department of Mathematics Chalmers Institute of Technology, and University of Gothenburg

Complex Variables and Complex Analysis Differential Geometry mathscidoc:1701.08013

Arkiv for Matematik, 53, (2), 359-382, 2014.1
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[93] 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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[94] A topological model for the fukaya categories of plumbings

Mohammed Abouzaid MIT Department of Mathematics

Differential Geometry mathscidoc:1609.10205

Journal of Differential Geometry, 87, (1), 1-80, 2011
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[95] Regularity of Kähler–Ricci flows on Fano manifolds

Gang Tian School of Mathematical Sciences and Beijing International Center for Mathematical Research, Peking University Zhenlei Zhang School of Mathematics, Capital Normal University

Differential Geometry mathscidoc:1701.10006

Acta Mathematica, 216, (1), 127-176, 2013.10
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[96] Stable hypersurfaces with zero scalar curvature in Euclidean space

Hilário Alencar Instituto de Matemática, Universidade Federal de Alagoas Manfredo do Carmo Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro, RJ, Brazil Gregório Silva Neto Instituto de Matemática, Universidade Federal de Alagoas

Analysis of PDEs Differential Geometry mathscidoc:1701.03016

Arkiv for Matematik, 1-9, 2015.9
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[97] On locally constructible spheres and balls

Bruno Benedetti Institute of Mathematics, Freie Universität Berlin Günter M. Ziegler Institute of Mathematics, Freie Universität Berlin

Differential Geometry Mathematical Physics mathscidoc:1701.10003

Acta Mathematica, 206, (2), 205-243, 2009.6
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[98] 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 ] [ 1146 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[99] Differential geometry-based solvation and electrolyte transport models for biomolecular modeling: a review

Nathan Baker Guo-Wei Wei

Differential Geometry mathscidoc:1702.10001

[ Download ] [ 2017-02-01 02:53:56 uploaded by Guo_Wei_Wei ] [ 1139 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[100] 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 ] [ 1136 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[101] 4-manifolds and intersection forms with local coefficients

Kim A. Frøyshov Centre for Quantum Geometry of Moduli Spaces,

Differential Geometry mathscidoc:1609.10270

Journal of Differential Geometry, 91, (2), 233-259, 2012
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[102] Inverse mean curvature flows in the hyperbolic 3-space revisited

Pei-Ken Hung Columbia University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10016

Calculus of Variations and Partial Differential Equations, 54, (1), 119–126, 2015.9
[ Download ] [ 2016-08-20 14:50:29 uploaded by mutaowang ] [ 1127 downloads ] [ 0 comments ] [ Cited by 4 ] [ Abstract ] [ Full ]
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[103] Ricci curvature on alexandrov spaces and rigidity theorem

Hui-Chun Zhang Sun Yat-sen University Xi-Ping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1609.10101

Comm. Anal. Geom., 18, (3), 503–553, 2010
[ Download ] [ 2016-09-10 12:32:14 uploaded by Huichun_Zhang ] [ 1124 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[104] Sweeping out 3-manifold of positive Ricci curvature by short 1-cycles via estimates of min-max surfaces

Yevgeny Liokumovich South Kensington Campus Xin Zhou Massachusetts Institute of Technology

Differential Geometry mathscidoc:1610.10028

Mathematics, 2016.5
[ Download ] [ 2016-10-10 10:47:50 uploaded by xinzhou02 ] [ 1124 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[105] Graphs with large girth and nonnegative curvature dimension condition

Bobo Hua Fudan Univresity Yong Lin Renmin University of China

Differential Geometry mathscidoc:1608.10073

2016.8
[ Download ] [ 2016-08-25 08:52:49 uploaded by linyong01 ] [ 1121 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[106] Dirichlet duality and the nonlinear dirichlet problem on riemannian manifolds

F. Reese Harvey Rice University H. Blaine Lawson, Jr. Stony Brook University

Differential Geometry mathscidoc:1609.10229

Journal of Differential Geometry, 88, (3), 395-482, 2011
[ Download ] [ 2016-09-13 20:48:00 uploaded by admin ] [ 1116 downloads ] [ 0 comments ] [ Cited by 16 ] [ Abstract ] [ Full ]
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[107] The logarithmic Minkowski problem

Károly J. Böröczky Alfréd Rényi Institute of Mathematics Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Differential Geometry Convex and Discrete Geometry mathscidoc:1702.03082

Journal of the American Mathematical Society, 26, (3), 831–852, 2013
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[108] Rigidity of polyhedral surfaces I

Feng Luo Rutgers University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1705.10005

Distinguished Paper Award in 2017

J. Differential Geometry, 96, (2), 241-302, 2014
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[109] On the classification of lorentzian holonomy groups

Thomas Leistner Humboldt-Universit¨at Berlin

Differential Geometry mathscidoc:1609.10027

Journal of Differential Geometry, 76, (3), 423-484, 2007
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[110] The tempered spectrum of a real spherical space

Friedrich Knop Emmy-Noether Zentrum Bernhard Krotz Universitat Paderborn Henrik Schlichtkrull University of Copenhagen

Arithmetic Geometry and Commutative Algebra Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1803.43006

Acta Mathematica, 218, (2), 2017
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[111] Negative holomorphic sectional curvature and positive canonical bundle

Damin Wu University of Connecticut Shing-Tung Yau Harvard University

Differential Geometry mathscidoc:1610.10017

Distinguished Paper Award in 2017

Inventiones Mathematicae, 204, (2), 595–604., 2016.5
[ Download ] [ 2016-10-06 23:14:45 uploaded by daminwu ] [ 1100 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[112] Quasi-isometry and deformation of Calabi-Yau manifolds

Kefeng Liu UCLA Sheng Rao Wuhan University 杨晓奎 Morningside Center, AMSS, CAS

Differential Geometry mathscidoc:1610.10003

Distinguished Paper Award in 2017

Invent. Math., 199, 423-253, 2015
[ Download ] [ 2016-10-03 22:38:57 uploaded by xiaokuiyang ] [ 1097 downloads ] [ 0 comments ] [ Cited by 3 ] [ Abstract ] [ Full ]
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[113] Adiabatic limits of Ricci-flat Kahler metrics

Valentino Tosatti Harvard University

Differential Geometry mathscidoc:1609.10168

Journal of Differential Geometry, 84, (2), 427-453, 2010
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[114] Kahler manifolds of semi-negative holomorphic sectional curvature

Gordon Heier University of Houston Steven S.Y. Lu University Du Quebec A Montreal Bun Wong University of California, Riverside

Differential Geometry mathscidoc:1702.10005

Journal of Differential Geometry, 104, (3), 419-441, 2016.11
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[115] Genus zero gopakumar-vafa invariants of contractible curves

Sheldon Katz

Differential Geometry mathscidoc:1609.10068

Journal of Differential Geometry, 79, (2), 185-195, 2008
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[116] Refined analytic torsion

Maxim Braverman Northeastern University Thomas Kappeler Institut fur Mathematik Universitat Z¨urich

Differential Geometry mathscidoc:1609.10051

Journal of Differential Geometry, 78, (2), 193-267, 2008
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[117] An extension of a theorem of Wu-Yau

杨晓奎 MCM of Chinese Academy of Science Valentino Tosatti Northwestern University

Differential Geometry mathscidoc:1608.10048

J. Differential Geom.
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[118] 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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[119] The plateau problem in alexandrov spaces

Chikako Mese Johns Hopkins University Patrick R. Zulkowski University of California

Differential Geometry mathscidoc:1609.10185

Journal of Differential Geometry, 85, (2), 315-356, 2010
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[120] Polar actions on symmetric spaces

Andreas Kollross Universit¨at Augsburg

Differential Geometry mathscidoc:1609.10043

Journal of Differential Geometry, 77, (3), 425-482, 2007
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[121] Deformations and fourier-mukai transforms

Yukinobu Toda University of Tokyo

Differential Geometry mathscidoc:1609.10092

Journal of Differential Geometry, 81, (1), 197-224, 2009
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[122] 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
[ Download ] [ 2019-12-24 20:36:04 uploaded by yaust ] [ 1061 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[123] A proof of the faber intersection number conjecture

Kefeng Liu Zhejiang University Hao Xu Zhejiang University

Differential Geometry mathscidoc:1609.10142

Journal of Differential Geometry, 83, (2), 313-335, 2009
[ Download ] [ 2016-09-11 20:19:34 uploaded by admin ] [ 1049 downloads ] [ 0 comments ] [ Cited by 24 ] [ Abstract ] [ Full ]
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[124] Rank n swapping algebra for the PSL(n;R) Hitchin component

Zhe Sun Yau Mathematical Sciences Center

Combinatorics Differential Geometry mathscidoc:1609.06001

International Mathematics Research Notices, 2017, (2), 583-613, 2017.2
[ Download ] [ 2016-09-02 15:46:52 uploaded by frease ] [ 1049 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[125] 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 ] [ 1048 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[126] 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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[127] A Discrete Uniformization Theorem for Polyhedral Surfaces I

Xianfeng Gu Stony Brook University Feng Luo Rutgers University Jian Sun Tsinghua University Tianqi Wu Tsinghua University

Differential Geometry Convex and Discrete Geometry mathscidoc:1705.10002

Accepted by Journal of Differential Geometry, 2016
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[128] Hamiltonian non-displaceability of Gauss images of isoparametric hypersurfaces

Hiroshi Iriyeh Ibaraki University, Japan Hui Ma Tsinghua University, Beijing Reiko Miyaoka Tohoku University, Japan Yoshihiro Ohnita Osaka City University, Japan

Differential Geometry mathscidoc:1705.10004

Bull. London Math. Soc. , 48, 802-812, 2016
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[129] On complete gradient shrinking ricci solitons

Huai-Dong Cao Lehigh University Detang Zhou Universidade Federal Fluminense

Differential Geometry mathscidoc:1609.10181

Journal of Differential Geometry, 85, (2), 175-185, 2010
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[130] On the

Yuxin Ge Universit´e Paris Est Cr´eteil Val de Marne Chang-Shou Lin National Taiwan University Guofang Wang Albert-Ludwigs-Universit¨at Freiburg

Differential Geometry mathscidoc:1609.10155

Journal of Differential Geometry, 84, (1), 45-86, 2010
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[131] 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
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[132] Syz mirror symmetry for toric calabi-yau manifolds

Kwokwai Chan The Chinese University of Hong Kong Siu-Cheong Lau Mathematics of the Universe Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1609.10250

Journal of Differential Geometry, 90, (1), 177-250, 2012
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[133] Construction of Cauchy data of vacuum Einstein field equations evolving to black holes

Junbin Li Sun Yat-sen University Pin Yu Tsinghua University

Differential Geometry mathscidoc:1608.10013

Distinguished Paper Award in 2017

Annals of Mathematics, 181, 2016.2
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[134] Isometric embeddings into the Minkowski space and new quasi-local mass

Mu-Tao Wang Columbia University Shing-Tung Yau Harvard University

Differential Geometry mathscidoc:1608.10051

Communications in Mathematical Physics , 288, (3), 919-942, 2009
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[135] Minimal surfaces in r^3 properly projecting into r^2

Antonio Alarcon Universidad de Granada Francisco J. Lopez Universidad de Granada

Differential Geometry mathscidoc:1609.10256

Journal of Differential Geometry, 90, (1), 351-381, 2012
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[136] Q.e.d. for algebraic varieties

Fabrizio Catanese Universit¨at Bayreuth, NWII

Differential Geometry mathscidoc:1609.10031

Journal of Differential Geometry, 77, (1), 43-75, 2007
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[137] 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

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[138] Miyaoka-Yau-type inequalities for Kahler-Einstein manifolds

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10010

Comm. Anal. Geom., 15, (2), 2007.3
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[139] The second pinching theorem for hypersurfaces with constant mean curvature in a sphere

Hongwei Xu Zhejiang University Zhiyuan Xu Zhejiang University

Differential Geometry mathscidoc:1609.10348

Mathematische Annalen, 356, 869–883, 2013
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[140] Volume inequalities for asymmetric wulff shapes

Franz E. Schuster Institute of Discrete Mathematics and Geometry Manuel Weberndorfer Institute of Discrete Mathematics and Geometry

Differential Geometry mathscidoc:1609.10286

Journal of Differential Geometry, 92, (2), 263-283, 2012
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[141] A polynomial bracket for the dubrovin–zhang hierarchies

Alexandr Buryak University of Amsterdam Hessel Posthuma University of Amsterdam Sergey Shadrin University of Amsterdam

Differential Geometry mathscidoc:1609.10282

Journal of Differential Geometry, 92, (1), 153-185, 2012
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[142] Seiberg Witten invariants and uniformizations

Conan Leung Chinese Univ of HK

Differential Geometry mathscidoc:1608.10102

Math. Ann., 306, 31-46, 1996
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[143] Classification of semisimple symmetric spaces with proper sl(2, r)-actions

Takayuki Okuda The University of Tokyo

Differential Geometry mathscidoc:1609.10316

Journal of Differential Geometry, 94, (2), 301-342, 2013
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[144] Large time behavior of heat kernels on forms

Thierry Coulhon Universit´e de Cergy-Pontoise Qi S. Zhang University of California

Differential Geometry mathscidoc:1609.10042

Journal of Differential Geometry, 77, (3), 353-384, 2007
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[145] Sharp spectral gaps on metric measure spaces

Yin Jiang Sun Yat-sen University Hui-Chun Zhang Sun Yat-sen University

Differential Geometry mathscidoc:1609.10099

Calc. Var., 55, 14
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[146] Totally geodesic seifert surfaces in hyperbolic knot and link complements ii

Colin Adams Department of Mathematics and Statistics Hanna Bennett Department of Mathematics, University of Chicago Christopher Davis Department of Mathematics, MIT Michael Jennings Department of Mathematics, MIT Jennifer Kloke Department of Mathematics, Stanford University Nicholas Perry 50 Taft Avenue, Newton, MA 02465 Eric Schoenfeld Department of Mathematics, Stanford University

Differential Geometry mathscidoc:1609.10061

Journal of Differential Geometry, 79, (1), 1-23, 2008
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[147] 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
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[148] Homological mirror symmetry for local Calabi-Yau manifolds via SYZ

Kwokwai Chan The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10011

Taiwanese J. Math., 21, (3), 505-529, 2017
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[149] The theory of superstring with flux on non-k¨ahler manifolds and the complex monge-amp`ere equation

Ji-Xiang Fu Fudan University Shing-Tung Yau Harvard University

Differential Geometry mathscidoc:1609.10055

Journal of Differential Geometry, 78, (3), 369-428, 2008
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[150] A Gibbons-Penrose inequality for surfaces in Schwarzschild spacetime

Simon Brendle Stanford University Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10023

Communications in Mathematical Physics, 330, (1), 33–43, 2014.8
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[151] Mean curvature flow of pinched submanifolds to spheres

Ben Andrews Australian National University Charles Baker Ben.Andrews@maths.anu.edu.au

Differential Geometry mathscidoc:1609.10186

Journal of Differential Geometry, 85, (3), 357-395, 2010
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[152] Geometric, topological and differentiable rigidity of submanifolds in space forms

Hongwei Xu Zhejiang University Juanru Gu Zhejiang University

Differential Geometry mathscidoc:1609.10345

Distinguished Paper Award in 2017

Geometric And Functional Analysis, 23, (5), 1684–1703, 2013.10
[ Download ] [ 2016-09-28 14:45:42 uploaded by xuhw ] [ 992 downloads ] [ 0 comments ] [ Cited by 4 ] [ Abstract ] [ Full ]
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[153] Tangential touch between the free and the fixed boundary in a semilinear free boundary problem in two dimensions

Mahmoudreza Bazarganzadeh Department of Mathematics, Uppsala University Erik Lindgren Department of Mathematics, Norwegian University of Science and Technology

Differential Geometry Metric Geometry mathscidoc:1701.10013

Arkiv for Matematik, 52, (1), 21-42, 2012.2
[ Download ] [ 2017-01-08 20:36:36 uploaded by arkivadmin ] [ 992 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[154] Constraints on total conserved quantities in general relativity

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10036

2012.6
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[155] Behavior of geodesic-length functions on Teichmueller space

Scott A. Wolpert Univ. of Maryland

Differential Geometry mathscidoc:1609.10071

Journal of Differential Geometry, 79, (2), 277-334, 2008
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[156] A matrix Li-Yau-Hamilton estimate for Kähler-Ricci flow

Lei Ni University of California at San Diego

Differential Geometry mathscidoc:1609.10008

Journal of Differential Geometry, 75, (2), 303-358, 2007
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[157] Cork twisting exotic stein 4-manifolds

Selman Akbulut Michigan State University Kouichi Yasui Hiroshima University

Differential Geometry mathscidoc:1609.10292

Journal of Differential Geometry, 93, (1), 1-36, 2013
[ Download ] [ 2016-09-14 07:29:04 uploaded by admin ] [ 988 downloads ] [ 0 comments ] [ Cited by 3 ] [ Abstract ] [ Full ]
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[158] 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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[159] Siu’s invariance of plurigenera: a one–tower proof

Mihai P˘aun Universit´e Henri Poincar´e Nancy 1

Differential Geometry mathscidoc:1609.10028

Journal of Differential Geometry, 76, (3), 485-493, 2007
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[160] Almost complex 4-manifolds with vanishing first chern class

Stefan Bauer Universit¨at Bielefeld, PF 100131

Differential Geometry mathscidoc:1609.10062

Journal of Differential Geometry, 79, (1), 25-32, 2008
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[161] Classification of nondegeneracy of Toda system with singular sources

Chang-Shou Lin National Taiwan University Juncheng Wei Chinese University of Hong Kong Dong Ye Université de Metz

Analysis of PDEs Differential Geometry mathscidoc:1705.03005

Distinguished Paper Award in 2017

Inventions , 169-207, 2012
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[162] Strong uniqueness of the ricci flow

Bing-Long Chen Sun Yat-Sen University

Differential Geometry mathscidoc:1609.10120

Journal of Differential Geometry, 82, (2), 363-382, 2009
[ Download ] [ 2016-09-11 18:38:32 uploaded by admin ] [ 981 downloads ] [ 0 comments ] [ Cited by 89 ] [ Abstract ] [ Full ]
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[163] Matrix factorizations from SYZ transformations

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10005

Adv. Lect. Math., 21, 2012.7
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[164] Compression bounds for Lipschitz maps from the Heisenberg group to$L$_{1}

Jeff Cheeger Courant Institute, New York University Bruce Kleiner Courant Institute, New York University Assaf Naor Courant Institute, New York University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.03006

Acta Mathematica, 207, (2), 291-373, 2009.11
[ Download ] [ 2017-01-08 20:33:57 uploaded by actaadmin ] [ 979 downloads ] [ 0 comments ] [ Cited by 25 ] [ Abstract ] [ Full ]
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[165] Small-time heat kernel asymptotics at the sub-riemannian cut locus

Davide Barilari, Equipe INRIA GECO Saclay-ˆ Ile-de-France, Ugo Boscain Equipe INRIA GECO Saclay-ˆ Ile-de-France, Robert W. Neel Lehigh University,

Differential Geometry mathscidoc:1609.10288

Journal of Differential Geometry, 93, (1), 373-416, 2012
[ Download ] [ 2016-09-14 07:24:00 uploaded by admin ] [ 978 downloads ] [ 0 comments ] [ Cited by 12 ] [ Abstract ] [ Full ]
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[166] 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 ] [ 978 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[167] Yau's gradient estimates on Alexandrov spaces

Hui-Chun Zhang Sun Yat-sen University Xi-Ping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1609.10098

Distinguished Paper Award in 2017

J. Differ. Geom., 91, 445-522, 2012
[ Download ] [ 2016-09-10 11:18:09 uploaded by Huichun_Zhang ] [ 977 downloads ] [ 0 comments ] [ Cited by 12 ] [ Abstract ] [ Full ]
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[168] Rigidity of Einstein manifolds with positive scalar curvature

Hongwei Xu Zhejiang University Juanru Gu Zhejiang University

Differential Geometry mathscidoc:1609.10346

Distinguished Paper Award in 2017

Mathematische Annalen, 358, 169–193, 2014
[ Download ] [ 2016-09-29 12:49:11 uploaded by xuhw ] [ 975 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[169] Rigidity of time-flat surfaces in the Minkowski spacetime

Po-Ning Chen Columbia University Mu-Tao Wang Columbia University Ye-Kai Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10022

2013.10
[ Download ] [ 2016-08-20 15:37:02 uploaded by mutaowang ] [ 974 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[170] Min-max minimal hypersurface in $(M^{n+1}, g)$ with $Ric_{g}>0$ and $2\leq n\leq 6$

Xin Zhou Department of Mathematics, Stanford University

Differential Geometry mathscidoc:1610.10033

Distinguished Paper Award in 2017

Journal of Differential Geometry, 100, 129-160., 2015
[ Download ] [ 2016-10-10 16:33:41 uploaded by xinzhou02 ] [ 971 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[171] SYZ mirror symmetry for toric Calabi-Yau manifolds

Kwokwai Chan The Chinese University of Hong Kong Siu-Cheong Lau Boston University Nai-Chung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1702.10002

J. Differential Geom., 90, (2), 177-250, 2012
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[172] The curvature of gradient Ricci solitons

Ovidiu Munteanu Columbia University Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10041

Mathematical Research Letters, 18, (6), 1051-1069, 2011
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[173] Sobolev metrics on the manifold of all riemannian metrics

Martin Bauer Universit¨at Wien Philipp Harms Harvard University Peter W. Michor Universit¨at Wien

Differential Geometry mathscidoc:1609.10312

Journal of Differential Geometry, 94, (2), 187-208187-208, 2013
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[174] 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 ] [ 968 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[175] Optimal test-configurations for toric varieties

Gabor Szekelyhidi Imperial College London

Differential Geometry mathscidoc:1609.10088

Journal of Differential Geometry, 80, (3), 501-523, 2008
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[176] Symplectic calabi–yau manifolds, minimal surfaces and the hyperbolic geometry of the conifold

Joel Fine Universit´e Libre de Bruxelles Dmitri Panov Imperial College

Differential Geometry mathscidoc:1609.10115

Journal of Differential Geometry, 82, (1), 155-205, 2009
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[177] A Discrete Uniformization Theorem for Polyhedral Surfaces II

Xianfeng Gu Stony Brook University Feng Luo Rutgers University Jian Sun Tsinghua University Tianqi Wu Tsinghua University

Differential Geometry Convex and Discrete Geometry mathscidoc:1705.10003

Accepted by Journal of Differential Geometry (JDG), 2016
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[178] The Dirichlet problem for the minimal surface system in arbitrary codimension

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10062

Communications on Pure and Applied Mathematics , 57, (2), 67-281, 2004
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[179] 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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[180] 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 ] [ 957 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[181] Tau-functions on spaces of abelian differentials and higher genus generalizations of ray-singer formula

Aleksey Kokotov Concordia University Dmitry Korotkin Concordia University

Differential Geometry mathscidoc:1609.10112

Journal of Differential Geometry, 82, (1), 35-100, 2009
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[182] 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

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[183] The smale conjecture for seifert fibered spaces with hyperbolic base orbifold

Darryl McCullough University of Oklahoma Teruhiko Soma Tokyo Metropolitan University

Differential Geometry mathscidoc:1609.10301

Journal of Differential Geometry, 93, (2), 327-353, 2013
[ Download ] [ 2016-09-14 07:40:37 uploaded by admin ] [ 954 downloads ] [ 0 comments ] [ Cited by 6 ] [ Abstract ] [ Full ]
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[184] A generalization of Liu-Yau's quasi-local mass

Mu-Tao Wang Columbia University Shing-Tung Yau Harvard University

Differential Geometry mathscidoc:1608.10057

Communications in Analysis and Geometry, 15, (2), 249-282., 2007
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[185] Cabling, contact structures and mapping class monoids

Kenneth L. Baker University of Miami John B. Etnyre School of Mathematics Jeremy Van Horn-Morris American Institute of Mathematics

Differential Geometry mathscidoc:1609.10247

Journal of Differential Geometry, 90, (1), 1-80, 2012
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[186] Killing vector fields with twistor derivative

Andrei Moroianu CMLS – ´Ecole Polytechnique

Differential Geometry mathscidoc:1609.10034

Journal of Differential Geometry, 77, (1), 149-167, 2007
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[187] Subriemannian geometry, a variational approach

Ovidiu Calin Eastern Michigan University Der-Chen Chang Georgetown University

Differential Geometry mathscidoc:1609.10077

Journal of Differential Geometry, 80, (1), 23-43, 2008
[ Download ] [ 2016-09-09 13:48:13 uploaded by admin ] [ 943 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[188] 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 ] [ 943 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[189] Uniqueness of closed self-similar solutions to $\sigma_k^{\alpha}$-curvature flow

Shanze Gao Tsinghua University, Beijing Haizhong Li Tsinghua University, Beijing Hui Ma Tsinghua University, Beijing

Differential Geometry mathscidoc:1701.10018

2017.1
[ Download ] [ 2017-01-11 14:32:32 uploaded by Laxpair ] [ 942 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[190] On the cr analogue of reilly formula and yau eigenvalue conjecture

Shu-Cheng Chang National Taiwan University Chih-Wei Chen National Taiwan University Chin-Tung Wu National Pingtung University

Differential Geometry mathscidoc:1611.10003

[ Download ] [ 2016-11-01 10:14:13 uploaded by scchang ] [ 941 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[191] 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 ] [ 941 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[192] 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 ] [ 941 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[193] Geometric transitions and SYZ mirror symmetry

Atsushi Kanazawa Harvard University Siu-Cheong Lau Boston University

Differential Geometry mathscidoc:1610.10016

[ Download ] [ 2016-10-04 02:42:52 uploaded by scllouis ] [ 940 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[194] Mirror symmetric solutions to the centro-affine Minkowski problem

Guangxian Zhu

Differential Geometry mathscidoc:1703.10001

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[195] A Hopf algebra associated with a Lie pair

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

Differential Geometry Group Theory and Lie Theory mathscidoc:1803.10004

C.R. Acad. Sci. Paris, Ser.I, 352, 929-933, 2014.6
[ Download ] [ 2018-03-30 21:18:32 uploaded by zhuo_chen ] [ 940 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[196] Quantitative embedded contact homology

Michael Hutchings University of California

Differential Geometry mathscidoc:1609.10224

Journal of Differential Geometry, 88, (2), 231-266, 2011
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[197] On the genus of triply periodic minimal surfaces

Martin Traizet Laboratoire de Math´ematiques et de Physique Th´eorique

Differential Geometry mathscidoc:1609.10070

Journal of Differential Geometry, 79, (2), 243-275, 2008
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[198] Explicit birational geometry of 3-folds of general type, ii

Jungkai A. Chen National Taiwan University Meng Chen Fudan University

Differential Geometry mathscidoc:1609.10198

Journal of Differential Geometry, 86, (2), 237-271, 2010
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[199] Lagrangian submanifolds in hyperkahler manifolds, Legendre transformation

Conan Leung Chinese Univ of HK

Differential Geometry mathscidoc:1608.10095

JDG, 61, 107-145, 2002
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[200] Sharp spectral gap and Li–Yau’s estimate on Alexandrov spaces

Zhongmin Qian University of Oxford Hui-Chun Zhang Sun Yat-sen University Xi-Ping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1609.10100

Math. Z, 273, 1175–1195
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[201] 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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[202] On SYZ mirror transformations

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong

Differential Geometry mathscidoc:1608.10007

Adv. Stud. Pure Math., 59, 2010.8
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[203] Geometry of Maurer-Cartan Elements on Complex Manifolds

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

Differential Geometry mathscidoc:1702.10003

Communications in Mathematical Physics, 297, (1), 169-187, 2010
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[204] 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

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[205] The completion of the manifold of riemannian metrics

Brian Clarke Universit¨at M¨unster

Differential Geometry mathscidoc:1609.10298

Journal of Differential Geometry, 93, (2), 203-268, 2013
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[206] Directional Poincaré inequalities along mixing flows

Stefan Steinerberger Department of Mathematics, Yale University

Analysis of PDEs Differential Geometry mathscidoc:1701.03017

Arkiv for Matematik, 1-15, 2015.11
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[207] 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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[208] 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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[209] The SYZ proposal

Conan Leung Chinese Univ of HK

Differential Geometry mathscidoc:1608.10081

ALM, 17, 133-140, 2011
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[210] Geometric and differentiable rigidity of submanifolds in spheres

Hongwei Xu Zhejiang University Fei Huang Zhejiang University Entao Zhao Zhejiang University

Differential Geometry mathscidoc:1609.10347

J. Math. Pures Appl., 99, 330-342, 2013
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[211] Bimeromorphic automorphism groups of non-projective hyperk¨ahler manifolds —a note inspired by c.t. mcmullen

Keiji Oguiso Keio University

Differential Geometry mathscidoc:1609.10050

Journal of Differential Geometry, 78, (3), 163-191, 2008
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[212] Clifford-wolf homogeneous riemannian manifolds

Valerii N. Berestovskii Omsk Branch of Sobolev Institute Yurii G. Nikonorov of Altay State Technical University

Differential Geometry mathscidoc:1609.10124

Journal of Differential Geometry, 82, (3), 467-500, 2009
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[213] A spherical cr structure on the complement of the figure eight knot with discrete holonomy

Elisha Falbel Universit´e Pierre et Marie Curie

Differential Geometry mathscidoc:1609.10064

Journal of Differential Geometry, 79, (1), 69-110, 2008
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[214] Non-realizability and ending laminations: Proof of the density conjecture

Hossein Namazi Department of Mathematics, University of Texas at Austin Juan Souto Department of Mathematics, University of British Columbia

Complex Variables and Complex Analysis Differential Geometry mathscidoc:1701.08003

Acta Mathematica, 209, (2), 323-395, 2010.4
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[215] Calabi-yau connections with torsion on toric bundles

D. Grantcharov San Jos´e State University G. Grantcharov Florida International University Y.S. Poon University of California at Riverside

Differential Geometry mathscidoc:1609.10047

Journal of Differential Geometry, 78, (1), 13-32, 2008
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[216] Twisted constant scalar curvature kähler metrics and kähler slope stability

Jacopo Stoppa Trinity College

Differential Geometry mathscidoc:1609.10152

Journal of Differential Geometry, 83, (3), 663-691, 2009
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[217] Residue currents associated with weakly holomorphic functions

Richard Lärkäng Department of Mathematics, Chalmers University of Technology and University of Gothenburg

Complex Variables and Complex Analysis Differential Geometry mathscidoc:1701.08006

Arkiv for Matematik, 50, (1), 135-164, 2009.11
[ Download ] [ 2017-01-08 20:36:31 uploaded by arkivadmin ] [ 902 downloads ] [ 0 comments ] [ Cited by 6 ] [ Abstract ] [ Full ]