Abstract
We exhibit pairs of infinite-volume, hyperbolic three-manifolds that have the same scattering poles and conformally equivalent boundaries, but which are not isometric. The examples are constructed using Schottky groups and the Sunada construction.
| Original language | English |
|---|---|
| Pages (from-to) | 307-326 |
| Number of pages | 20 |
| Journal | Geometric and Functional Analysis |
| Volume | 10 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2000 |
Bibliographical note
Funding Information:Acknowledgements. Robert Brooks gratefully acknowledges the hospitality of the University of Kentucky. Ruth Gornet acknowledges the hospitality of the University of Kentucky where her work was supported by Texas Tech University and the National Science Foundation through a POWRE Fellowship. Peter Perry gratefully acknowledges the hospitality of the Department of Mathematics, Technion{Israel Institute of Technology, where part of this work was carried out.
Funding Information:
R.B. supported in part by the Israel Science Foundation, founded by the Israel Academy of Sciences and Humanities, the Fund for the Promotion of Research at the Technion, the New York Metropolitan Fund, and the NSF-CNRS program in \Inverse Spectral Geometry". R.G. supported in part by NSF Grant DMS 97-53220 and the NSF-CNRS program in \Inverse Spectral Geometry". P.P. supported in part by NSF Grant DMS 97-07051.
ASJC Scopus subject areas
- Analysis
- Geometry and Topology