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arXiv · 1309.5430

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

Xue Hu·Dandan Ji·Yuguang Shi
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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 $R\geq -n\left(n-1\right)$ and also the rigidity result when certain renormalized volume is zero.

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Xue Hu, Dandan Ji, Yuguang Shi. 2014-06-08. Volume comparison of conformally compact manifolds with scalar curvature $R\geq -n\left(n-1\right)$. https://arxiv.org/abs/1309.5430

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