Huber's theorem for hyperbolic orbisurfaces
arXiv:math/0504571 · doi:10.4153/CMB-2009-008-0
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.
6 pages; v2: more explanation of length spectrum, to appear in Canadian Mathematical Bulletin