Inverse scattering results for manifolds hyperbolic near infinity

Details Inverse scattering results for manifolds hyperbolic near infinity Inverse scattering results for manifolds hyperbolic near infinity

2009-06-02

arxiv.org/abs/0906.0542v3

Mathematics

Spectral Theory

25 pages. v3: Minor corrections, references added

Scientific paper

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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