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Open Accesshttps://doi.org/10.1016/j.aim.2018.10.010
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Cite Journal: Advances in Mathematics |  Publication Date: Oct 17, 2018 |
 Citations: 9 |  License type: publisher-specific-oa |
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.
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