Isoscattering Schottky Manifolds
微分几何
2007-05-23 v1
摘要
The authors 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.
引用
@article{arxiv.math/0005230,
title = {Isoscattering Schottky Manifolds},
author = {Robert Brooks and Ruth Gornet and Peter Perry},
journal= {arXiv preprint arXiv:math/0005230},
year = {2007}
}
备注
14 pages, PDF file. to appear, G.A.F.A