English

A Rigidity theorem on conformally compact Einstein manifolds in high dimensions

Differential Geometry 2026-01-30 v1

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 d5d\ge 5 extending the earlier result in dimension d=4d=4.

Keywords

Cite

@article{arxiv.2601.21441,
  title  = {A Rigidity theorem on conformally compact Einstein manifolds in high dimensions},
  author = {Yuxin Ge and Sun-Yung Alice Chang},
  journal= {arXiv preprint arXiv:2601.21441},
  year   = {2026}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2509.18430

R2 v1 2026-07-01T09:25:18.202Z