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Joint Princeton-Rutgers Seminar on Geometric PDE's

Obata type rigidity theorems on manifold with boundary and their applications

Fang Wang, Shanghai Jiao Tong University

Location:  Hill 705
Date & time: Tuesday, 17 April 2018 at 3:00PM - 4:00PM

Abstract: In this talk, I will introduce some rigidity theorems for the (generalized) Obata equation on manifolds with boundary with different kinds of boundary conditions.  Then I will also give two main applications. One application is in the rigidity theorems of Poincare-Einstein manifolds; and the other is in the first eigenvalue problems on manifolds with boundary.

This is joint work with Mijia Lai and Xuezhang Chen.

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