Boundary regularity of conformally compact Einstein metrics

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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

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Differential Geometry, High Energy Physics - Theory, 53C25

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http://salesiana.dossiersoluciones.com/handle/123456789/99177

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401386
 http://arxiv.org/abs/math/0401386
 J.Diff.Geom. 69 (2005) 111-136

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arXiv