Differential Geometry

[1] 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 ] [ 69 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[2] 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 ] [ 35 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] 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 ] [ 39 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[4] 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 ] [ 33 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[5] 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 ] [ 32 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[6] 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 ] [ 11 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] The rigidity theorems of self shrinkers via Gauss maps

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

Differential Geometry mathscidoc:1912.10004

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

Qi Ding Fudan University

Differential Geometry mathscidoc:1912.10003

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

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

Differential Geometry mathscidoc:1912.10002

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

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

Differential Geometry mathscidoc:1912.10001

Comm. Pure Appl. Math., 69, (2), 323-371, 2016
[ Download ] [ 2019-12-24 11:37:56 uploaded by qiding ] [ 16 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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