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.
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Communicated by Sergiu Klainerman.
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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Bonini, V., Qing, J. A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners along a Hypersurface. Ann. Henri Poincaré 9, 347–372 (2008). https://doi.org/10.1007/s00023-008-0358-8
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DOI: https://doi.org/10.1007/s00023-008-0358-8