Rigidity of Asymptotically Hyperboblic Manifolds
Differential Geometry
2009-11-10 v1
Abstract
In this paper, we prove a rigidity theorem of asymptotically hyperbolic manifolds only under the assumptions on curvature. Its proof is based on analyzing asymptotic structures of such manifolds at infinity and a volume comparison theorem.
Cite
@article{arxiv.math/0402358,
title = {Rigidity of Asymptotically Hyperboblic Manifolds},
author = {Yuguang Shi and Gang Tian},
journal= {arXiv preprint arXiv:math/0402358},
year = {2009}
}
Comments
16 pages