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arXiv · 1101.4830

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

Nicolas Ginoux·Georges Habib
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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 \rightarrow \CP^n in order to test the sharpness of the upper bounds

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Nicolas Ginoux, Georges Habib. 2011-01-25. The spectrum of the twisted Dirac operator on Kahler submanifolds of the comlex projective space. https://arxiv.org/abs/1101.4830

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