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Constructing geometrically equivalent hyperbolic orbifolds

McReynolds, D
Meyer, JS
Stover, M
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Pre-print
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2017-03-14
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10.2140/agt.2017.17.831
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© 2017, Mathematical Sciences Publishers. All rights reserved. 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.
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Mathematical Sciences Publishers
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Algebraic and Geometric Topology
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