Huber's theorem for hyperbolic orbisurfaces
classification
🧮 math.SP
math.DG
keywords
hyperbolicorbisurfacescompacthuberorientablespectrumtheoremconverse
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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.
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