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

被引：0
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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.
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页码：231 / 258
页数：27
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