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

URN to cite this document:
urn:nbn:de:bvb:355-epub-205049
Ginoux, Nicolas ; Habib, Georges
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Date of publication of this fulltext: 18 Apr 2011 06:58


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.


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