Inverse scattering results for manifolds hyperbolic near infinity
Spectral Theory
2010-06-25 v3 Differential Geometry
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.
Cite
@article{arxiv.0906.0542,
title = {Inverse scattering results for manifolds hyperbolic near infinity},
author = {D. Borthwick and P. A. Perry},
journal= {arXiv preprint arXiv:0906.0542},
year = {2010}
}
Comments
25 pages. v3: Minor corrections, references added