Isoscattering Schottky Manifolds

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

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Differential Geometry, 58J53, 58J50 (MSC 2000 Classification)

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https://dspace.dare.co.zw/handle/123456789/92423

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arXiv

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