Isospectral Riemann surfaces
Annales de l'Institut Fourier, Volume 36 (1986) no. 2, pp. 167-192.

We construct new examples of compact Riemann surfaces which are non isometric but have the same spectrum of the Laplacian. Examples are given for genus g=5 and for all g7. In a second part we give examples of isospectral non isometric surfaces in R 3 which are realizable by paper models.

L’article donne de nouveaux exemples de surfaces de Riemann compactes qui sont non isométriques et ont le même spectre du laplacien. Ces exemples sont donnés pour le genre g=5 et pour tous les g7.

Dans une seconde partie nous construisons des surfaces isospectrales plongées dans R 3 qui se réalisent par des modèles en papier.

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     author = {Buser, Peter},
     title = {Isospectral {Riemann} surfaces},
     journal = {Annales de l'Institut Fourier},
     pages = {167--192},
     publisher = {Institut Fourier},
     volume = {36},
     number = {2},
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     doi = {10.5802/aif.1054},
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     url = {http://archive.numdam.org/articles/10.5802/aif.1054/}
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Buser, Peter. Isospectral Riemann surfaces. Annales de l'Institut Fourier, Volume 36 (1986) no. 2, pp. 167-192. doi : 10.5802/aif.1054. http://archive.numdam.org/articles/10.5802/aif.1054/

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