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Ginoux, Nicolas ; Habib, Georges

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 typeMonograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Volume:4/2011
Date2011
InstitutionsMathematics > Prof. Dr. Bernd Ammann
Dewey Decimal Classification500 Science > 510 Mathematics
StatusSubmitted
RefereedNo, this version has not been refereed yet (as with preprints)
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-205049
Item ID20504

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