Geodesic
Huber's Theorem for Hyperbolic Orbisurfaces
Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 66-71

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DOI

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.
DOI : 10.4153/CMB-2009-008-0
Mots-clés : 58J53, 11F72, Huber's theorem, length spectrum, isospectral, orbisurfaces 
Dryden, Emily B.; Strohmaier, Alexander. Huber's Theorem for Hyperbolic Orbisurfaces. Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 66-71. doi: 10.4153/CMB-2009-008-0
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     title = {Huber's {Theorem} for {Hyperbolic} {Orbisurfaces}},
     journal = {Canadian mathematical bulletin},
     pages = {66--71},
     year = {2009},
     volume = {52},
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     doi = {10.4153/CMB-2009-008-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-008-0/}
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