2000 character limit reached
Volume comparison of conformally compact manifolds with scalar curvature $R\geq -n\left(n-1\right)$ (1309.5430v2)
Published 21 Sep 2013 in math.DG
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.