Perturbation compactness and uniqueness for a class of conformally compact Einstein manifolds

In this paper, we establish compactness results for some classes of conformally compact Einstein metrics defined on manifolds of dimension d ≥ 4. In the special case when the manifold is the Euclidean ball with the unit sphere as the conformal infinity, the existence of such class of metrics has bee...

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Bibliographic Details
Main Authors: Chang Sun-Yung Alice, Ge Yuxin, Jin Xiaoshang, Qing Jie
Format: Article
Language:English
Published: De Gruyter 2024-03-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2023-0124