## 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

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.

### MSC:

 58J50 Spectral problems; spectral geometry; scattering theory on manifolds

### Keywords:

spectrum; flat torus; isometric; isospectral
Full Text:

### References:

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