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Constructing
geometrically equivalent hyperbolic orbifolds
David McReynolds, Jeffrey S Meyer and Matthew Stover |
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Algebraic & Geometric Topology 17 (2017) 831–846
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Abstract |
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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. |
Keywords
arithmetic lattices, hyperbolic manifolds, totally geodesic
submanifolds
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Mathematical Subject Classification 2010
Primary: 51M10, 58J53
Secondary: 11F06
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References |
Publication
Received: 24 July 2015
Revised: 28 August 2016
Accepted: 8 September 2016
Published: 14 March 2017
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Authors |
| David McReynolds | |
| Department of Mathematics Purdue University 150 N. University St. West Lafayette, IN 47907 United States |
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| Jeffrey S Meyer | |
| Department of Mathematics California State University, San Bernardino 5500 University Parkway San Bernardino, CA 92407-2318 United States |
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| Matthew Stover | |
| Department of Mathematics Temple University 1805 N Broad St. Philadelphia, PA 19122 United States |
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