Mathematics

[8426] 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 ] [ 628 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8427] 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 ] [ 664 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8428] 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 ] [ 861 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8429] 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 ] [ 712 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8430] 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 ] [ 563 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8431] 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 ] [ 661 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8432] 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 ] [ 697 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8433] 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 ] [ 1845 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8434] 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 ] [ 578 downloads ] [ 0 comments ] [ Cited by 4 ] [ Abstract ] [ Full ]
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[8435] 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 ] [ 920 downloads ] [ 0 comments ] [ Cited by 9 ] [ Abstract ] [ Full ]
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[8436] 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 ] [ 906 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[8437] 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 ] [ 1124 downloads ] [ 0 comments ] [ Cited by 11 ] [ Abstract ] [ Full ]
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[8438] 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 ] [ 814 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8439] 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 ] [ 778 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[8440] Curvature Decay Estimates of Graphical Mean Curvature Flow in Higher Codimensions

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

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1608.10018

Transactions of the American Mathematical Society, 2016.1
[ Download ] [ 2016-08-20 15:04:15 uploaded by mutaowang ] [ 843 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8441] Constructing soliton solutions of geometric flows by separation of variables

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10017

2014.12
[ Download ] [ 2016-08-20 14:54:41 uploaded by mutaowang ] [ 754 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8442] 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 ] [ 1044 downloads ] [ 0 comments ] [ Cited by 4 ] [ Abstract ] [ Full ]
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[8443] Conserved quantities on asymptotically hyperbolic initial data sets

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

Mathematical Physics mathscidoc:1608.10015

2014.9
[ Download ] [ 2016-08-20 14:28:27 uploaded by mutaowang ] [ 716 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8444] 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
[ Download ] [ 2016-08-20 13:31:07 uploaded by mutaowang ] [ 1208 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8445] Conserved Quantities of harmonic asymptotic initial data sets

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

Mathematical Physics mathscidoc:1608.22008

2014.9
[ Download ] [ 2016-08-20 13:08:33 uploaded by mutaowang ] [ 731 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8446] Double ramification cycles on the moduli spaces of admissible covers

Hsian-Hua Tseng Ohio State University Fenglong You Ohio State University

mathscidoc:1608.01008

[ Download ] [ 2016-08-20 10:57:41 uploaded by tseng ] [ 722 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8447] Virasoro constraints for toric bundles

Tom Coates Imperial College London Alexander Givental UC Berkeley Hsian-Hua Tseng Ohio State University

mathscidoc:1608.01007

[ Download ] [ 2016-08-20 10:54:17 uploaded by tseng ] [ 612 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8448] A quantum Leray-Hirsch theorem for banded gerbes

Xiang Tang Washington University in St. Louis Hsian-Hua Tseng Ohio State University

mathscidoc:1608.01006

[ Download ] [ 2016-08-20 10:51:06 uploaded by tseng ] [ 1063 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8449] A mirror theorem for toric stacks

Tom Coates Imperial College London Alessio Corti Imperial College London Hiroshi Iritani Kyoto University Hsian-Hua Tseng Ohio State University

mathscidoc:1608.01005

Compositio Mathematica, 151, (10), 1878--1912, 2015.10
[ Download ] [ 2016-08-20 10:45:14 uploaded by tseng ] [ 856 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8450] Rigidity and minimizing properties of quasi-local mass

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

Mathematical Physics mathscidoc:1608.22007

2014.11
[ Download ] [ 2016-08-20 10:22:51 uploaded by mutaowang ] [ 864 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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