Huber's theorem for hyperbolic orbisurfaces

Details Huber's theorem for hyperbolic orbisurfaces Huber's theorem for hyperbolic orbisurfaces

2005-04-28

arxiv.org/abs/math/0504571v2

Mathematics

Spectral Theory

6 pages; v2: more explanation of length spectrum, to appear in Canadian Mathematical Bulletin

Scientific paper

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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