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Huber's theorem for hyperbolic orbisurfaces

Emily B. Dryden·Alexander Strohmaier
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Abstract

We show that for compact orientable hyperbolic orbisurfaces, the Laplace spectrum determines the length spectrum as well as the number of singular points of a given order. The converse also holds, giving a full generalization of Huber's theorem to the setting of compact orientable hyperbolic orbisurfaces.

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Emily B. Dryden, Alexander Strohmaier. 2007-07-30. Huber's theorem for hyperbolic orbisurfaces. https://doi.org/10.4153/cmb-2009-008-0

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