Compactness of conformally compact Einstein 4-manifolds II
Differential Geometry
2019-07-15 v2
Abstract
In this paper, we establish compactness results of some class of conformally compact Einstein 4-manifolds. In the first part of the paper, we improve the earlier results obtained by Chang-Ge. In the second part of the paper, as applications, we derive some compactness results under perturbation conditions when the L^2-norm of the Weyl curvature is small. We also derive the global uniqueness of conformally compact Einstein metrics on the 4-Ball constructed in the earlier work of Graham-Lee.
Cite
@article{arxiv.1811.02112,
title = {Compactness of conformally compact Einstein 4-manifolds II},
author = {Sun-Yung A. Chang and Yuxin Ge and Jie Qing},
journal= {arXiv preprint arXiv:1811.02112},
year = {2019}
}
Comments
28 pages