Isoscattering Schottky Manifolds
classification
🧮 math.DG
keywords
schottkyauthorsboundariesconformallyconstructedconstructionequivalentexamples
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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.
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