Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds
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 Miao ST and eigenfunction compactification ideas from Qing.
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