Huber's theorem for hyperbolic orbisurfaces
Emily B. Dryden, Alexander Strohmaier
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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