Volume comparison of conformally compact manifolds with scalar curvature R≥ -n(n-1)
Abstract
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 renormalized volume is zero.
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