Title

A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners along a Hypersurface

Author Info

Vincent Bonini, Mathematical Science Research InstituteFollow
Jie Qing, University of California - Santa Cruz

Recommended Citation

Postprint version. Published in Annales Henri Poincaré, Volume 9, Issue 2, January 1, 2008, pages 347-372.

NOTE: At the time of publication, the author Vincent Bonini was not yet affiliated with Cal Poly.

The definitive version is available at https://doi.org/10.1007/s00023-008-0358-8.

Abstract

In this paper we take an approach similar to that in [13] to establish a positive mass theorem for spin asymptotically hyperbolic 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.

Disciplines

Mathematics

Copyright

2008 Birkhäuser Verlag Basel/Switzerland .