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arXiv · 1811.06913

The mass of an asymptotically hyperbolic manifold with a noncompact boundary

Sergio Almaraz·Levi Lopes de Lima
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Abstract

We define a mass-type invariant for asymptotically hyperbolic manifolds with a noncompact boundary which are modelled at infinity on the hyperbolic half-space and prove a sharp positive mass inequality in the spin case under suitable dominant energy conditions. As an application we show that any such manifold which is Einstein and either has a totally geodesic boundary or is conformally compact and has a mean convex boundary is isometric to the hyperbolic half-space.

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Sergio Almaraz, Levi Lopes de Lima. 2019-01-03. The mass of an asymptotically hyperbolic manifold with a noncompact boundary. https://arxiv.org/abs/1811.06913

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