Ammann, Bernd and Dahl, Mattias and Humbert, Emmanuel (2011) HARMONIC SPINORS AND LOCAL DEFORMATIONS OF THE METRIC. MATHEMATICAL RESEARCH LETTERS, 18 (5). pp. 927-936. ISSN 1073-2780,
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Let (M, g) be a compact Riemannian spin manifold. The Atiyah-Singer index theorem yields a lower bound for the dimension of the kernel of the Dirac operator. We prove that this bound can be attained by changing the Riemannian metric g on an arbitrarily small open set.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MANIFOLDS; SURGERY; Dirac operator; eigenvalue; surgery; index theorem |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Jun 2020 04:33 |
| Last Modified: | 02 Jun 2020 04:33 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20187 |
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