A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus

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We compare the eigenvalues of the Dirac and Laplace operator on a two-dimensional torus with respect to the trivial spin structure. In particular, we compute their variation up to order 4 upon deformation of the flat metric, study the corresponding Hamiltonian and discuss several families of examples.
Latex2.09, 28 pages, with figures

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Differential Geometry, 58G25, 53A05

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http://salesiana.dossiersoluciones.com/handle/123456789/77814

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812044
 http://arxiv.org/abs/math/9812044
 Manuscripta Math. 100, no. 2, 231-258 (1999)

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arXiv