Compactness of conformally compact Einstein manifolds in dimension 4
Author(s): Chang, Sun-Yung A.; Ge, Yuxin
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http://arks.princeton.edu/ark:/88435/pr1774f| Abstract: | In this paper, we establish some compactness results of conformally compact Einstein metrics on 4-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. (C) 2018 Elsevier Inc. All rights reserved. |
| Publication Date: | 15-Dec-2018 |
| Electronic Publication Date: | 17-Oct-2018 |
| Citation: | Chang, Sun-Yung A, Ge, Yuxin. (2018). Compactness of conformally compact Einstein manifolds in dimension 4. ADVANCES IN MATHEMATICS, 340 (588 - 652. doi:10.1016/j.aim.2018.10.010 |
| DOI: | doi:10.1016/j.aim.2018.10.010 |
| ISSN: | 0001-8708 |
| EISSN: | 1090-2082 |
| Pages: | 588 - 652 |
| Type of Material: | Journal Article |
| Journal/Proceeding Title: | ADVANCES IN MATHEMATICS |
| Version: | Author's manuscript |
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