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Lp-spectrum of the Dirac operator on products with hyperbolic spaces
Ammann, Bernd and Grosse, Nadine (2014) Lp-spectrum of the Dirac operator on products with hyperbolic spaces. Preprintreihe der Fakultät Mathematik 13/2014, Working Paper.Date of publication of this fulltext: 27 Jun 2016 09:24
Monograph
DOI to cite this document: 10.5283/epub.33951
Abstract
We study the Lp-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 Lp-spectrum for the hyperbolic space and its product with compact spaces.
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Details
| Item type | Monograph (Working Paper) | ||||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||
|---|---|---|---|---|---|---|---|
| Volume: | 13/2014 | ||||||
| Date | 2014 | ||||||
| Institutions | Mathematics > Prof. Dr. Bernd Ammann | ||||||
| Classification |
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| Keywords | Dirac operator, Lp-spectrum, Green function, hyperbolic space, product spaces | ||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||||
| Status | Unknown | ||||||
| Refereed | No, this version has not been refereed yet (as with preprints) | ||||||
| Created at the University of Regensburg | Yes | ||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-339510 | ||||||
| Item ID | 33951 |
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