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Constructing geometrically equivalent hyperbolic orbifolds

Year: 2017
Type: article
Abstract: In this paper, we construct families of nonisometric hyperbolic orbifolds that contain the same isometry classes of nonflat totally geodesic subspaces. The main tool is a variant of the well-known Sunada method for constructing length-isospectral Riemannian manifolds that handles totally geodesic submanifolds of multiple codimensions simultaneously.
Authors: David McReynolds, Jeffrey Meyer, Matthew Stover
Language: English
Open Access status: green
OpenAlex ID: W2255143719
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Cites: 12
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