The mass of an asymptotically hyperbolic manifold with a noncompact boundary
classification
🧮 math.DG
gr-qc
keywords
boundaryhyperbolicasymptoticallyhalf-spacemanifoldmassnoncompactapplication
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.