Differential Geometry

[1] 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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[2] 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
[ Download ] [ 2021-03-28 12:22:14 uploaded by Chunhe ] [ 17 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] 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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[4] 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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[5] 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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[6] 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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[7] 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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[8] 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
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[9] 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
[ Download ] [ 2020-10-27 23:14:46 uploaded by zimingnikolas ] [ 97 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[10] 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
[ Download ] [ 2020-10-27 22:59:24 uploaded by zimingnikolas ] [ 89 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[11] 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
[ Download ] [ 2020-09-09 12:08:46 uploaded by kwchan ] [ 142 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[12] 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

[ Download ] [ 2020-09-09 12:07:39 uploaded by kwchan ] [ 131 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[13] 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
[ Download ] [ 2020-05-30 21:04:01 uploaded by wyzhang ] [ 220 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[14] 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 ] [ 184 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[15] 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
[ Download ] [ 2020-05-22 07:27:07 uploaded by admin ] [ 254 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[16] 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
[ Download ] [ 2020-04-27 01:56:06 uploaded by lwc2017 ] [ 182 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[17] 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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[18] 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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[19] 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
[ Download ] [ 2020-04-27 01:31:01 uploaded by lwc2017 ] [ 195 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] 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
[ Download ] [ 2020-01-03 16:46:44 uploaded by Martin_Man_chun_Li ] [ 493 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] 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
[ Download ] [ 2020-01-03 16:43:37 uploaded by Martin_Man_chun_Li ] [ 238 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] 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
[ Download ] [ 2020-01-03 16:39:49 uploaded by Martin_Man_chun_Li ] [ 219 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] 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 ] [ 159 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] 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
[ Download ] [ 2020-01-03 16:34:43 uploaded by Martin_Man_chun_Li ] [ 197 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] 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
[ Download ] [ 2020-01-03 16:24:44 uploaded by Martin_Man_chun_Li ] [ 195 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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