Mass rigidity for hyperbolic manifolds
Differential Geometry
2019-11-27 v2 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1904.12010,
title = {Mass rigidity for hyperbolic manifolds},
author = {Lan-Hsuan Huang and Hyun Chul Jang and Daniel Martin},
journal= {arXiv preprint arXiv:1904.12010},
year = {2019}
}
Comments
Appeared in Comm. Math. Phys