A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
by
Ilka Agricola, Bernd Ammann,
Thomas Friedrich
A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
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Manuscripta Math. 100, no. 2, 231-258, 1999
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.
58G25, 53A05
Keywords
Dirac operator, Laplace operator, two-torus, surfaces
Bernd Ammann, 12.12.1998