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arXiv:1207.2642 [math.DG]AbstractReferencesReviewsResources

The twisted Spin$^c$ Dirac operator on Kähler submanifolds of the complex projective space

Georges Habib, Roger Nakad

Published 2012-07-11Version 1

In this paper, we estimate the eigenvalues of the twisted Dirac operator on K\"ahler submanifolds of the complex projective space $CP^m$ and we discuss the sharpness of this estimate for the embedding $CP^d \hookrightarrow CP^m$.

Categories: math.DG, math.SP
Subjects: 53C15, 53C27, 53C40
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