Boundary regularity of conformally compact Einstein metrics

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.

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

References in corpus (1)

• The Ambient Obstruction Tensor and Q-Curvature

Cited by in corpus (1)

• Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. $n\ge 5$