Isospectral Riemann surfaces

Buser, Peter

Annales de l'Institut Fourier, Tome 36 (1986), p. 167-192 / Harvested from Numdam

Résumé

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 $g\ge 7$.

Dans une seconde partie nous construisons des surfaces isospectrales plongées dans ${\bf R}^3$ qui se réalisent par des modèles en papier.

Abstract

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 $g\ge 7$. In a second part we give examples of isospectral non isometric surfaces in ${\bf R}^ 3$ which are realizable by paper models.

Détail

Publié le : 1986-01-01

MR 88d:58123 | Zbl 0579.53036 | 3 citations dans Numdam

DOI : https://doi.org/10.5802/aif.1054

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