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Research Funding:

D. Borthwick supported in part by NSF grant DMS-0901937. P.A. Perry supported in part by NSF grant DMS-0710477.

Inverse Scattering Results for Manifolds Hyperbolic Near Infinity

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Journal Title:

Journal of Geometric Analysis

Volume:

Volume 21, Number 2

Publisher:

, Pages 305-333

Type of Work:

Article | Preprint: Prior to Peer Review

Abstract:

We study the inverse resonance problem for conformally compact manifolds which are hyperbolic outside a compact set. Our results include compactness of isoresonant metrics in dimension two and of isophasal negatively curved metrics in dimension three. In dimensions four or higher we prove topological finiteness theorems under the negative curvature assumption.

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© Mathematica Josephina, Inc. 2010

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