Borne explicit du nombre de tores plats isospectraux à un tore donné. (Explicit bound of the number of flat tori isospectral to a given flat torus). (French) Zbl 0757.58040

Pesce, Hubert

Manuscr. Math. 75, No. 2, 211-223 (1992).

The author gives an explicit bound of the number of isometry classes of flat \(n\)-dimensional tori isospectral to a given flat \(n\)-dimensional torus. The bound is expressed only in geometrical terms. In the particular case \(n=3\) the author proves that there exist 3612 of such classes.

Reviewer: M.Puta (Timişoara)

MSC:

58J50

Spectral problems; spectral geometry; scattering theory on manifolds

Keywords:

spectrum; flat torus; isometric; isospectral

References:

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