Ricci flow of conformally compact metrics

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 Schnürer, Schulze and Simon to prove a stability result for conformally compact Einstein metrics sufficiently close to the hyperbolic metric.

26 pages, 2 figures. Version 2 includes stronger stability result and fixes several typos

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