Mass rigidity of asymptotically hyperbolic spaces and some splitting theorems


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April 3, 2020 10:30 am - 11:30 am
via Zoom Video Conferencing

Hyun Chul Jang - University of Connecticut

via Zoom Video Conferencing:

In this talk, we will discuss the rigidity of positive mass theorem for asymptotically hyperbolic manifolds. That is, if the mass equality holds, then the manifold is isometric to hyperbolic space. The proof used a variational approach with the scalar curvature constraint. It also involves an investigation on a type of Obata’s equations, which leads to recent splitting results with Galloway. This talk is based on the joint works with L.-H. Huang and D. Martin, and with G. J. Galloway.