Boundary regularity of conformally compact Einstein metrics

Details Boundary regularity of conformally compact Einstein metrics Boundary regularity of conformally compact Einstein metrics

2004-01-27

arxiv.org/abs/math/0401386v2

J.Diff.Geom. 69 (2005) 111-136

Mathematics

Differential Geometry

Latex2e, 25 pages. This is the final version accepted for publication in the Journal of Differential Geometry

Scientific paper

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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