A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners along a Hypersurface |
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Authors: | Vincent Bonini Jie Qing |
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Institution: | (1) Mathematical Science Research Institute, Berkeley, CA 94720, USA;(2) Department of Mathematics, UC, Santa Cruz, CA 95064, USA |
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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.
Vincent Bonini: The first named author supported by MSRI Postdoctoral Fellowship.
Jie Qing: The second named author supported partially by NSF grant DMS 0402294.
Submitted: April 6, 2007. Accepted: September 24, 2007. |
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Keywords: | |
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