Huber's theorem for hyperbolic orbisurfaces
Spectral Theory
2013-01-25 v2 Differential Geometry
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.
Cite
@article{arxiv.math/0504571,
title = {Huber's theorem for hyperbolic orbisurfaces},
author = {Emily B. Dryden and Alexander Strohmaier},
journal= {arXiv preprint arXiv:math/0504571},
year = {2013}
}
Comments
6 pages; v2: more explanation of length spectrum, to appear in Canadian Mathematical Bulletin