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arXiv:math/0401386 [math.DG]AbstractReferencesReviewsResources

Boundary regularity of conformally compact Einstein metrics

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

Published 2004-01-27, updated 2005-07-27Version 2

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.

Comments: Latex2e, 25 pages. This is the final version accepted for publication in the Journal of Differential Geometry
Journal: J.Diff.Geom. 69 (2005) 111-136
Categories: math.DG, hep-th
Subjects: 53C25
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Topics in conformally compact Einstein metrics

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