Boundary regularity of conformally compact Einstein metrics



Journal of Differential Geometry

Boundary regularity of conformally compact Einstein metrics

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

Source: J. Differential Geom. Volume 69, Number 1 (2005), 111-136.

Abstract

We show that C2 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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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jdg/1121540341
Mathematical Reviews number (MathSciNet): MR2169584


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