Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds
Differential Geometry
2007-05-23 v1
Abstract
A rigidity result for weakly asymptotically hyperbolic manifolds with lower bounds on Ricci curvature is proved without assuming that the manifolds are spin. The argument makes use of a quasi-local mass characterization of Euclidean balls from \cite{Miao} \cite{S_T} and eigenfunction compactification ideas from \cite{Qing}.
Cite
@article{arxiv.math/0310378,
title = {Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds},
author = {Vincent Bonini and Pengzi Miao and Jie Qing},
journal= {arXiv preprint arXiv:math/0310378},
year = {2007}
}
Comments
9 pages