The spectrum of the twisted Dirac operator on Kahler submanifolds of the complex projective space

Ginoux, Nicolas and Habib, Georges (2012) The spectrum of the twisted Dirac operator on Kahler submanifolds of the complex projective space. MANUSCRIPTA MATHEMATICA, 137 (1-2). pp. 215-231. ISSN 0025-2611,

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Abstract

We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kahler submanifolds in Kahler manifolds carrying Kahlerian Killing spinors. We then compute the spectrum of the twisted Dirac operator of the canonical embedding CP(d) -> CP(n) in order to test the sharpness of the upper bounds.

Item Type: Article
Uncontrolled Keywords: EIGENVALUE;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 May 2020 09:43
Last Modified: 26 May 2020 09:43
URI: https://pred.uni-regensburg.de/id/eprint/19654

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