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Huber's Theorem for Hyperbolic Orbisurfaces

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Published:2009-03-01
Printed: Mar 2009
• 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.
 Keywords: Huber's theorem, length spectrum, isospectral, orbisurfaces
 MSC Classifications: 58J53 - Isospectrality 11F72 - Spectral theory; Selberg trace formula

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