Isoscattering Schottky manifolds

Citation
R. Brooks et al., Isoscattering Schottky manifolds, GEO FUNCT A, 10(2), 2000, pp. 307-326
Citations number
48
Categorie Soggetti
Mathematics
Journal title
GEOMETRIC AND FUNCTIONAL ANALYSIS
ISSN journal
1016443X → ACNP
Volume
10
Issue
2
Year of publication
2000
Pages
307 - 326
Database
ISI
SICI code
1016-443X(2000)10:2<307:ISM>2.0.ZU;2-#
Abstract
We exhibit pairs of infinite-volume, hyperbolic three-manifolds that have t he same scattering poles and conformally equivalent boundaries, but which a re not isometric. The examples are constructed using Schottky groups and th e Sunada construction.