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Volume comparison of conformally compact manifolds with scalar curvature $R\geq -n\left(n-1\right)$

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 $R\geq -n\left(n-1\right)$ and also the rigidity result when certain renormalized volume is zero.

preprint2014arXivOpen access
Xue HuDandan JiYuguang Shi
math.DG
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Xue HuDandan JiYuguang Shi

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