Volume Comparison of Conformally Compact Manifolds with Scalar Curvature R ≥ − n ( n − 1)

Annales Henri Poincaré（2015）

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摘要

In this paper, we use the normalized Ricci–DeTurk flow to prove a stability result for strictly stable conformally compact Einstein manifolds. As an application, we show a local volume comparison of conformally compact manifolds with scalar curvature R ≥ − n ( n − 1) and also the rigidity result when certain relative volume is zero.

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关键词

Manifold,Scalar Curvature,Hyperbolic Space,Compact Manifold,Hyperbolic Manifold

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