Obata type rigidity theorems on manifold with boundary and their applications

Obata type rigidity theorems on manifold with boundary and their applications

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Fang Wang, Shanghai Jiao Tong University
Rutgers - Hill Center, Room 705

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.