Constructing Geometrically Equivalent Hyperbolic Orbifolds

D. B. McReynolds; Jeffrey S. Meyer; Matthew Stover

doi:10.2140/agt.2017.17.831

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arXiv · 1507.06708

Constructing Geometrically Equivalent Hyperbolic Orbifolds

D. B. McReynolds·Jeffrey S. Meyer·Matthew Stover

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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.

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D. B. McReynolds, Jeffrey S. Meyer, Matthew Stover. 2015-07-24. Constructing Geometrically Equivalent Hyperbolic Orbifolds. https://doi.org/10.2140/agt.2017.17.831

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