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Isospectral Riemann surfaces

Peter Buser — 1986

Annales de l'institut Fourier

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 7 . In a second part we give examples of isospectral non isometric surfaces in R 3 which are realizable by paper models.

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