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.
| Original language | English |
|---|---|
| Pages (from-to) | 305-333 |
| Number of pages | 29 |
| Journal | Journal of Geometric Analysis |
| Volume | 21 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2011 |
Bibliographical note
Funding Information:D. Borthwick supported in part by NSF grant DMS-0901937. P.A. Perry supported in part by NSF grant DMS-0710477.
Funding
D. Borthwick supported in part by NSF grant DMS-0901937. P.A. Perry supported in part by NSF grant DMS-0710477.
| Funders | Funder number |
|---|---|
| National Science Foundation Arctic Social Science Program | 0710477, DMS-0710477, DMS-0901937 |
Keywords
- Hyperbolic
- Inverse scattering
- Resonance
ASJC Scopus subject areas
- Geometry and Topology
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