2 papers
math.DG2026
A Rigidity theorem on conformally compact Einstein manifolds in high dimensions
Yuxin Ge, Sun-Yung Alice Chang
In this paper, we establish a Liouville type rigidity result for a class of asymptotically hyperbolic non-compact Einstein metrics defined on manifolds of dimension extend…
math.DG2026
On the problem of filling by a Poincaré-Einstein metric in dimension 4
Sun-Yung Alice Chang, Yuxin Ge
Given a metric defined on a manifold of dimension three, we study the problem of finding a conformal filling by a Poincaré-Einstein metric on a manifold of dimension four. We esta…