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Huber's theorem for hyperbolic orbisurfaces

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posted on 2013-06-14, 08:36 authored by Emily B. Dryden, Alexander Strohmaier
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.

History

School

  • Science

Department

  • Mathematical Sciences

Citation

DRYDEN, E.B. and STROHMAIER, A., 2009. Huber's theorem for hyperbolic orbisurfaces. Canadian Mathematical Bulletin, 52 (1), pp. 66 - 71.

Publisher

© Canadian Mathematical Society

Version

  • SMUR (Submitted Manuscript Under Review)

Publication date

2009

Notes

This article was published in the Canadian Mathematical Bulletin [© Canadian Mathematical Society] and the definitive version is available at: http://dx.doi.org/10.4153/CMB-2009-008-0

ISSN

0008-4395

Language

  • en

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