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arXiv · 1011.2999

Ricci flow of conformally compact metrics

Eric Bahuaud
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Abstract

In this paper we prove that given a smoothly conformally compact metric there is a short-time solution to the Ricci flow that remains smoothly conformally compact. We adapt recent results of Schn\"urer, Schulze and Simon to prove a stability result for conformally compact Einstein metrics sufficiently close to the hyperbolic metric.

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Eric Bahuaud. 2010-11-12. Ricci flow of conformally compact metrics. https://doi.org/10.1016/j.anihpc.2011.03.007

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