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2017 Constructing geometrically equivalent hyperbolic orbifolds
David McReynolds, Jeffrey Meyer, Matthew Stover
Algebr. Geom. Topol. 17(2): 831-846 (2017). DOI: 10.2140/agt.2017.17.831

Abstract

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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David McReynolds. Jeffrey Meyer. Matthew Stover. "Constructing geometrically equivalent hyperbolic orbifolds." Algebr. Geom. Topol. 17 (2) 831 - 846, 2017. https://doi.org/10.2140/agt.2017.17.831

Information

Received: 24 July 2015; Revised: 28 August 2016; Accepted: 8 September 2016; Published: 2017
First available in Project Euclid: 19 October 2017

zbMATH: 06698200
MathSciNet: MR3623673
Digital Object Identifier: 10.2140/agt.2017.17.831

Subjects:
Primary: 51M10, 58J53
Secondary: 11F06

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 2 • 2017
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