Huber's Theorem for Hyperbolic Orbisurfaces

Canadian mathematical bulletin

关键词: Huber's theorem;    length spectrum;    isospectral;    orbisurfaces;   

DOI  :  10.4153/CMB-2009-008-0

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We show that for compact orientable hyperbolic orbisurfaces, theLaplace spectrum determines the length spectrum as well as thenumber of singular points of a given order. The converse also holds, givinga full generalization of Huber's theorem to the setting ofcompact orientable hyperbolic orbisurfaces.

【 授权许可】

Unknown