vix.ing · top · new · best · stats · spec

Asymptotically hyperbolic manifold with a horospherical boundary

2021/02/17 by Xiaoxiang Chai, Chai, Xiaoxiang
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2102.08889

openalex publication_date 2021/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related