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

Abstract

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

References in corpus (1)

• A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces