A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
Differential Geometry
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/9812044,
title = {A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus},
author = {Ilka Agricola and Bernd Ammann and Thomas Friedrich},
journal= {arXiv preprint arXiv:math/9812044},
year = {2007}
}
Comments
Latex2.09, 28 pages, with figures