Isoscattering Schottky Manifolds

Details Isoscattering Schottky Manifolds Isoscattering Schottky Manifolds

2000-05-23

arxiv.org/abs/math/0005230v1

Mathematics

Differential Geometry

14 pages, PDF file. to appear, G.A.F.A

Scientific paper

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.

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