Mass rigidity for hyperbolic manifolds
arXiv:1904.12010 · doi:10.1007/s00220-019-03623-0
Abstract
We prove the rigidity of positive mass theorem for asymptotically hyperbolic manifolds. Namely, if the mass equality holds, then the manifold is isometric to hyperbolic space. The result was previously proven for spin manifolds or under special asymptotics.
Appeared in Comm. Math. Phys