Asymptotically hyperbolic manifold with a horospherical boundary

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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.

Topics & Keywords

Geometric Analysis and Curvature Flows Geometric and Algebraic Topology Quantum chaos and dynamical systems

UN Sustainable Development Goals

Sustainable cities and communities

Publication Details

Published in: arXiv (Cornell University)

DOI: 10.48550/arxiv.2102.08889