2021/07/07 by Sun‐Yung A. Chang, Chang, Sun-Yung A., Yuxin Ge +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2107.03075
openalex publication_date 2021/07/07 · openalex created_date 2021/07/19 · openalex updated_date 2026/07/28
In this paper, we establish a compactness result for a class of conformally compact Einstein metrics defined on manifolds of dimension d≥ 4. As an application, we derive the global uniqueness of a class of conformally compact Einstein metric defined on the d-dimensional ball constructed in the earlier work of Graham-Lee with d≥ 4. As a second application, we establish some gap phenomenon for a class of conformal invariants.