Kraus, Margarita (2001) Eigenvalues of the Dirac operator on fibrations over S-1. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 19 (3). pp. 235-257. ISSN 0232-704X
Full text not available from this repository. (Request a copy)Abstract
We consider the Dirac operator on fibrations over S-1 which have up to holonomy a warped product metric. We give lower bounds for the eigenvalues on M and if the Dirac operator on the typical fibre F has a kernel, we calculate the corresponding part of the spectrum on M explicitly. Moreover, we discuss the dependence of the spectrum of the holonomy and obtain bounds for the multiplicity of the eigenvalues.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HARMONIC SPINORS; LOWER BOUNDS; SURFACES; Dirac operator; fibration; holonomy; spectrum |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Feb 2022 10:36 |
| Last Modified: | 22 Feb 2022 10:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/41824 |
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