Compactness of conformally compact Einstein manifolds in dimension 4
Differential Geometry
2018-10-03 v2
Abstract
In this paper, we establish some compactness results of conformally compact Einstein metrics on -dimensional manifolds. Our results were proved under assumptions on the behavior of some local and non-local conformal invariants, on the compactness of the boundary metrics at the conformal infinity, and on the topology of the manifolds.
Cite
@article{arxiv.1809.05593,
title = {Compactness of conformally compact Einstein manifolds in dimension 4},
author = {Sun-Yung A. Chang and Yuxin Ge},
journal= {arXiv preprint arXiv:1809.05593},
year = {2018}
}
Comments
to appear in Advances in Mathematics