Mass rigidity of asymptotically hyperbolic spaces and some splitting theorems
CMSA GENERAL RELATIVITY SEMINAR
Hyun Chul Jang - University of Connecticut
via Zoom Video Conferencing: https://harvard.zoom.us/j/635180669
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.