Title
A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners along a Hypersurface
Recommended Citation
Postprint version. Published in Annales Henri Poincaré, Volume 9, Issue 2, January 1, 2008, pages 347-372.
Copyright © 2008 Birkhäuser Verlag Basel/Switzerland . The original publication is available at http://dx.doi.org/10.1007/s00023-008-0358-8.
NOTE: At the time of publication, the author Vincent Bonini was not yet affiliated with Cal Poly.
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
URL: http://digitalcommons.calpoly.edu/math_fac/48