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Huber's Theorem for Hyperbolic Orbisurfaces

  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 Huber's theorem, length spectrum, isospectral, orbisurfaces
MSC Classifications: 58J53, 11F72 show english descriptions Isospectrality
Spectral theory; Selberg trace formula
58J53 - Isospectrality
11F72 - Spectral theory; Selberg trace formula
 

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