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Huber's Theorem for Hyperbolic Orbisurfaces

Published online by Cambridge University Press:  20 November 2018

Emily B. Dryden  and
Alexander Strohmaier
Emily B. Dryden
Affiliation:
Department of Mathematics, Bucknell University, Lewisburg, PA 17837, USA e-mail: [email protected]
Alexander Strohmaier
Affiliation:
Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK e-mail: [email protected]
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Abstract

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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

58J5311F72Huber's theoremlength spectrumisospectralorbisurfaces
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 1 , 01 March 2009 , pp. 66 - 71
Copyright
Copyright © Canadian Mathematical Society 2009

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