Mathematics

[8376] Deforming symplectomorphisms of complex projective spaces by the mean curvature

Ivana Medos Columbia University Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10043

Journal of Differential Geometry , 87, (2), 309-342, 2011
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[8377] Evaluating quasilocal energy and solving optimal embedding equation at null infinity

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

Differential Geometry mathscidoc:1608.10042

Communications in Mathematical Physics , 308, (3), 845-863, 2011
[ Download ] [ 2016-08-20 23:30:22 uploaded by mutaowang ] [ 382 downloads ] [ 0 comments ] [ Cited by 8 ] [ Abstract ] [ Full ]
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[8378] 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
[ Download ] [ 2016-08-20 23:16:01 uploaded by mutaowang ] [ 607 downloads ] [ 0 comments ] [ Cited by 8 ] [ Abstract ] [ Full ]
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[8379] Specifying Angular Momentum and Center of Mass for Vacuum Initial Data Sets

Lan-Hsuan Huang University of Connecticut Richard Schoen Stanford University Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10040

Communications in Mathematical Physics, 306, (3), 785–803, 2011.9
[ Download ] [ 2016-08-20 18:42:58 uploaded by mutaowang ] [ 398 downloads ] [ 0 comments ] [ Cited by 15 ] [ Abstract ] [ Full ]
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[8380] Gravitational energy seen by quasilocal observers

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10039

Classical and Quantum Gravity, 28, (11), 114011, 2011
[ Download ] [ 2016-08-20 18:37:22 uploaded by mutaowang ] [ 392 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[8381] Quasilocal mass from a mathematical perspective

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10038

AMS/IP studies in advanced mathematics, 51, 2012
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[8382] Mean curvature flows and isotopy problems

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10037

Surveys in di erential geometry, 18, 2013
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[8383] Constraints on total conserved quantities in general relativity

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10036

2012.6
[ Download ] [ 2016-08-20 18:15:54 uploaded by mutaowang ] [ 577 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8384] Quasilocal mass and surface Hamiltonian in space-time

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10035

XVIIth International Congress on Mathematical Physics, 229-238, 2014
[ Download ] [ 2016-08-20 18:11:19 uploaded by mutaowang ] [ 541 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[8385] 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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[8386] 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 ] [ 754 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8387] Evaluating small sphere limit of the Wang-Yau quasi-local energy

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

Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1608.10032

2015.10
[ Download ] [ 2016-08-20 17:24:36 uploaded by mutaowang ] [ 395 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8388] Four lectures on quasi-local mass

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10031

2015.10
[ Download ] [ 2016-08-20 17:10:25 uploaded by mutaowang ] [ 388 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8389] Quasi-local energy with respect to a static spacetime

Po-Ning Chen Columbia University Mu-Tao Wang Columbia University Ye-Kai Wang Columbia University Shing-Tung Yau Harvard University

Mathematical Physics mathscidoc:1608.10030

2016.4
[ Download ] [ 2016-08-20 17:06:36 uploaded by mutaowang ] [ 612 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8390] Quasi-local energy with respect to de Sitter/anti-de Sitter reference

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

Differential Geometry mathscidoc:1608.10029

2016.3
[ Download ] [ 2016-08-20 16:59:14 uploaded by mutaowang ] [ 446 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8391] Quasi-local energy in presence of gravitational radiation

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

Differential Geometry mathscidoc:1608.10028

2016.3
[ Download ] [ 2016-08-20 16:56:00 uploaded by mutaowang ] [ 367 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8392] Generalized Lagrangian mean curvature flows: the cotangent bundle case

Knut Smoczyk Leibniz Universität Hannover Mao-Pei Tsui The University of Toledo Mu-Tao Wang Columbia University

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10027

2016.4
[ Download ] [ 2016-08-20 16:27:26 uploaded by mutaowang ] [ 409 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8393] The stability of the mean curvature flow in manifolds of special holonomy

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

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10026

2016.5
[ Download ] [ 2016-08-20 16:20:36 uploaded by mutaowang ] [ 483 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8394] Energy, momentum, and center of mass in general relativity

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10025

2016.5
[ Download ] [ 2016-08-20 16:10:05 uploaded by mutaowang ] [ 1494 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8395] Minimizing properties of critical points of quasi-local energy

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

Differential Geometry mathscidoc:1608.10024

Communications in Mathematical Physics, 329, (3), 919–935, 2014.8
[ Download ] [ 2016-08-20 15:47:04 uploaded by mutaowang ] [ 384 downloads ] [ 0 comments ] [ Cited by 4 ] [ Abstract ] [ Full ]
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[8396] 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
[ Download ] [ 2016-08-20 15:43:07 uploaded by mutaowang ] [ 598 downloads ] [ 0 comments ] [ Cited by 9 ] [ Abstract ] [ Full ]
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[8397] 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 ] [ 661 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[8398] Conserved quantities in general relativity: from the quasi-local level to spatial infinity

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

Mathematical Physics mathscidoc:1608.10021

Gold Award Paper in 2017

Communications in Mathematical Physics, 338, (1), 31–80, 2015.8
[ Download ] [ 2016-08-20 15:29:44 uploaded by mutaowang ] [ 807 downloads ] [ 0 comments ] [ Cited by 11 ] [ Abstract ] [ Full ]
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[8399] Quasilocal angular momentum and center of mass in general relativity

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

Mathematical Physics mathscidoc:1608.10020

2013.12
[ Download ] [ 2016-08-20 15:24:44 uploaded by mutaowang ] [ 535 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8400] On the validity of the definition of angular momentum in general relativity

Po-Ning Chen Columbia University Lan-Hsuan Huang University of Connecticut Mu-Tao Wang Columbia University Shing-Tung Yau Harvard University

Mathematical Physics mathscidoc:1608.10019

Annales Henri Poincaré, 17, (2), 253–270, 2016.2
[ Download ] [ 2016-08-20 15:13:18 uploaded by mutaowang ] [ 512 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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