The Eigenvalue Spectrum as Moduli for Flat Tori
- 1 October 1978
- journal article
- research article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 244 (OCT) , 313-321
- https://doi.org/10.2307/1997901
Abstract
A flat torus T carries a natural Laplace Beltrami operator. It is a conjecture that the spectrum of the Laplace Beltrami operator determines T 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 subvariety is given.Keywords
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