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Scattering theory and deformations of asymptotically hyperbolic metrics

David Borthwick
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Abstract

For an asymptotically hyperbolic metric on the interior of a compact manifold with boundary, we prove that the resolvent and scattering operators are continuous functions of the metric in the appropriate topologies.

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David Borthwick. 1997-11-20. Scattering theory and deformations of asymptotically hyperbolic metrics. https://arxiv.org/abs/dg-ga/9711016

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