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NCTS Seminar in Differential Geometry
16:00 - 17:00, June 2, 2016 (Thursday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
A Reilly's type formula on static manifolds and its applications
Ye-Kai Wang (National Cheng Kung University)


Since it's discovery in the 70's, Reilly's formula has become an indispensable tool in studying the boundary effects of manifolds with nonnegative Ricci curvature. In this talk, we present a new Reilly's formula by Junfang Li and Chao Xia on static manifolds (arxiv 1603.02201) and their new proof of a Heintze-Karcher type inequality (originally due to Brendle). I will also discuss its application in the study of Wang-Yau quasilocal mass with static reference (joint with Po-Ning Chen, Mu-Tao Wang, and Shing-Tung Yau).


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