Boundary regularity of conformally compact Einstein metrics
微分几何
2007-05-23 v2 高能物理 - 理论
摘要
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.
引用
@article{arxiv.math/0401386,
title = {Boundary regularity of conformally compact Einstein metrics},
author = {Piotr T. Chrusciel and Erwann Delay and John M. Lee and Dale N. Skinner},
journal= {arXiv preprint arXiv:math/0401386},
year = {2007}
}
备注
Latex2e, 25 pages. This is the final version accepted for publication in the Journal of Differential Geometry