English

The twisted Spin$^c$ Dirac operator on K\"ahler submanifolds of the complex projective space

Differential Geometry 2012-07-12 v1 Spectral Theory

Abstract

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

Keywords

Cite

@article{arxiv.1207.2642,
  title  = {The twisted Spin$^c$ Dirac operator on K\"ahler submanifolds of the complex projective space},
  author = {Georges Habib and Roger Nakad},
  journal= {arXiv preprint arXiv:1207.2642},
  year   = {2012}
}