Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds

Details Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds

2003-10-23

arxiv.org/abs/math/0310378v1

Mathematics

Differential Geometry

9 pages

Scientific paper

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}.

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