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 quasilocal mass characterization of Euclidean balls from [9] [14] and eigenfunction compactification ideas from [12].

Disciplines

Mathematics

Publisher statement

First Published in Communications in Analysis and Geometry 14:3 (2006), published by International Press

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Mathematics Commons

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URL: http://digitalcommons.calpoly.edu/math_fac/49