A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners Along a Hypersurface
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
In this paper we take an approach similar to that in [M] to establish a positive mass theorem for asymptotically hyperbolic spin manifolds admitting corners along a hypersurface. The main analysis uses an integral representation of a solution to a perturbed eigenfunction equation to obtain an asymptotic expansion of the solution in the right order. This allows us to understand the change of the mass aspect of a conformal change of asymptotically hyperbolic metrics.
Keywords
Cite
@article{arxiv.0711.0539,
title = {A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners Along a Hypersurface},
author = {Vincent Bonini and Jie Qing},
journal= {arXiv preprint arXiv:0711.0539},
year = {2009}
}