The eigenvalue spectrum as moduli for flat tori
The eigenvalue spectrum as moduli for flat tori
A flat torus <italic>T</italic> carries a natural Laplace Beltrami operator. It is a conjecture that the spectrum of the Laplace Beltrami operator determines <italic>T</italic> modulo isometries. We prove that, with the exception of a subvariety in the moduli space of flat tori, this conjecture is true. A description of the …