Ricci flow of conformally compact metrics

Details Ricci flow of conformally compact metrics Ricci flow of conformally compact metrics

2010-11-12

arxiv.org/abs/1011.2999v2

Mathematics

Analysis of PDEs

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

Scientific paper

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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