The spectrum of the twisted Dirac operator on Kähler submanifolds of the complex projective space
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چکیده
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 CP d → CP n in order to test the sharpness of the upper bounds.
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تاریخ انتشار 2011