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.