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

被引：6
|
作者：
Agricola, I
Ammann, B
Friedrich, T
机构：
[1] Humboldt Univ, Inst Math, D-10099 Berlin, Germany
[2] Univ Freiburg, Inst Math, D-79104 Freiburg, Germany
来源：
MANUSCRIPTA MATHEMATICA | 1999年 / 100卷 / 02期
关键词：
Mathematics Subject Classification (1991):58G25, 53A05;
D O I：
10.1007/s002290050239
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：28
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