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A comparison of the eigenvalues of the Dirac and Laplace operators on a two-dimensional torus |
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| Authors: | Ilka Agricola Bernd Ammann Thomas Friedrich |
| Institution: | Humboldt-Universit?t zu Berlin, Institut für Mathematik,?Sitz: Ziegelstra?e 13a, Unter den Linden 6, D-10099 Berlin, Germany.?e-mail: agricola@mathematik.hu-berlin.de; friedric@mathematik.hu-berlin.de, DE Universit?t Freiburg, Mathematisches Institut, Eckerstr. 1, D-79104 Freiburg, Germany. e-mail: ammann@mathematik.uni-freiburg.de, DE |
| 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. Received: 10 December 1998 |
| Keywords: | Mathematics Subject Classification (1991):58G25 53A05 |
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