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The spectrum of the twisted Dirac operator on Kähler submanifolds of the complex projective space
Ginoux, Nicolas and Habib, Georges (2011) The spectrum of the twisted Dirac operator on Kähler submanifolds of the complex projective space. Preprintreihe der Fakultät Mathematik 4/2011, Working Paper. (Submitted)Date of publication of this fulltext: 18 Apr 2011 06:58
Monograph
DOI to cite this document: 10.5283/epub.20504
Abstract
We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler submanifolds in Kähler manifolds carrying Kählerian Killing spinors. We then compute the spectrum of the twisted Dirac operator of the canonical embedding CPd ! CPn in order to test the sharpness
of the upper bounds.
Involved Institutions
Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 4/2011 |
| Date | 2011 |
| Institutions | Mathematics > Prof. Dr. Bernd Ammann |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Submitted |
| 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-205049 |
| Item ID | 20504 |
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