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The length spectrum of hyperbolic surfaces: an example of rigidity. (Le spectre des longueurs des surfaces hyperboliques: un exemple de rigidité.) (French. English summary) Zbl 1250.53038
Actes de Séminaire de Théorie Spectrale et Géométrie. Année 2009–2010. St. Martin d’Hères: Université de Grenoble I, Institut Fourier. Séminaire de Théorie Spectrale et Géométrie 28, 109-120 (2010).
Summary: Having presented some recent results concerning the length spectra of hyperbolic surfaces, we give a proof of the fact that spheres with three conical points are, in their class, spectrally rigid.
For the entire collection see [Zbl 1213.35007].
MSC:
53C22 Geodesics in global differential geometry
20H10 Fuchsian groups and their generalizations (group-theoretic aspects)
30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
53C24 Rigidity results
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