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

preprint2012arXivOpen access

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

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

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The twisted Spinc^cc Dirac operator on Kähler submanifolds of the complex projective space

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