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

被引：0

作者：

Ilka Agricola

Bernd Ammann

Thomas Friedrich

机构：

[1] Humboldt-Universität zu Berlin,

[2] Institut für Mathematik,undefined

[3] ¶Sitz: Ziegelstraße 13a,undefined

[4] Unter den Linden 6,undefined

[5] D-10099 Berlin,undefined

[6] Germany.¶e-mail: agricola@mathematik.hu-berlin.de; friedric@mathematik.hu-berlin.de,undefined

[7] Universität Freiburg,undefined

[8] Mathematisches Institut,undefined

[9] Eckerstr. 1,undefined

[10] D-79104 Freiburg,undefined

[11] Germany. e-mail: ammann@mathematik.uni-freiburg.de,undefined

来源：

manuscripta mathematica | 1999年 / 100卷

关键词：

Mathematics Subject Classification (1991):58G25, 53A05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：231 / 258

页数：27

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