Positive mass theorem for some asymptotically hyperbolic manifolds
Differential Geometry
2015-02-19 v1
Abstract
We prove a positive mass theorem for some noncompact spin manifolds that are asymptotic to products of hyperbolic space with a compact manifold. As conclusion we show the Yamabe inequality for some noncompact manifolds which are important to understand the behaviour of Yamabe invariants under surgeries.
Cite
@article{arxiv.1502.05227,
title = {Positive mass theorem for some asymptotically hyperbolic manifolds},
author = {Bernd Ammann and Nadine Große},
journal= {arXiv preprint arXiv:1502.05227},
year = {2015}
}