A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners along a HypersurfaceAnnales Henri Poincaré
AbstractIn this paper we take an approach similar to that in  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.
Copyright2008 Birkhäuser Verlag Basel/Switzerland .
Citation InformationVincent Bonini and Jie Qing. "A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners along a Hypersurface" Annales Henri Poincaré Vol. 9 Iss. 2 (2008) p. 347 - 372
Available at: http://works.bepress.com/vbonini/1/