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arXiv · 0711.0539

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

Vincent Bonini·Jie Qing
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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.

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Vincent Bonini, Jie Qing. 2007-11-04. A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners Along a Hypersurface. https://doi.org/10.1007/s00023-008-0358-8

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