Asymptotically hyperbolic manifold with a horospherical boundary

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.

References in corpus (2)

• Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
• A note on Minkowski formula of conformal Killing-Yano $2$-form

Cited by in corpus (1)

• Mass and polyhedra in asymptotically hyperbolic manifolds