Ammann, Bernd and Grosse, Nadine (2016) L-p-spectrum of the Dirac operator on products with hyperbolic spaces. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 55 (5): 127. ISSN 0944-2669, 1432-0835
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We study the L-p-spectrum of the Dirac operator on complete manifolds. One of the main questions in this context is whether this spectrum depends on p. As a first example where p-independence fails we compute explicitly the L-p-spectrum for the hyperbolic space and its product with compact spaces.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ELLIPTIC DIFFERENTIAL-OPERATORS; SYMMETRIC-SPACES; RIEMANNIAN-MANIFOLDS; BOUNDED GEOMETRY; LAPLACIAN; DYNAMICS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Apr 2019 12:55 |
| Last Modified: | 24 Apr 2019 12:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4165 |
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