Abstract.
We 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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Submitted: October 1998, Final version: June 1999.
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Brooks, R., Gornet, R. & Perry, P. Isoscattering Schottky manifolds . GAFA, Geom. funct. anal. 10, 307–326 (2000). https://doi.org/10.1007/s000390050010
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DOI: https://doi.org/10.1007/s000390050010