A Rigidity theorem on conformally compact Einstein manifolds in high dimensions

Yuxin Ge; Sun-Yung Alice Chang

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arXiv · 2601.21441

A Rigidity theorem on conformally compact Einstein manifolds in high dimensions

Yuxin Ge·Sun-Yung Alice Chang

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Abstract

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 $d\ge 5$ extending the earlier result in dimension $d=4$.

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Yuxin Ge, Sun-Yung Alice Chang. 2026-01-29. A Rigidity theorem on conformally compact Einstein manifolds in high dimensions. https://arxiv.org/abs/2601.21441

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