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