English

Asymptotically hyperbolic manifold with a horospherical boundary

Differential Geometry 2021-02-18 v1 General Relativity and Quantum Cosmology

Abstract

We discuss asymptotically hyperbolic manifold with a noncompact boundary which is close to a horosphere in a certain sense. The model case is a horoball or the complement of a horoball in standard hyperbolic space. We show some geometric formulas.

Keywords

Cite

@article{arxiv.2102.08889,
  title  = {Asymptotically hyperbolic manifold with a horospherical boundary},
  author = {Xiaoxiang Chai},
  journal= {arXiv preprint arXiv:2102.08889},
  year   = {2021}
}
R2 v1 2026-06-23T23:15:26.066Z