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Boundary regularity of conformally compact Einstein metrics

Piotr T. Chrusciel·Erwann Delay·John M. Lee·Dale N. Skinner
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Abstract

We show that C^2 conformally compact Riemannian Einstein metrics have conformal compactifications that are smooth up to the boundary in dimension 3 and all even dimensions, and polyhomogeneous in odd dimensions greater than 3.

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Piotr T. Chrusciel, Erwann Delay, John M. Lee, Dale N. Skinner. 2005-07-27. Boundary regularity of conformally compact Einstein metrics. https://arxiv.org/abs/math/0401386

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