English

Lower Bounds for the Eigenvalues of the Dirac Operator on $Spin^c$ Manifolds

Differential Geometry 2015-05-19 v1

Abstract

In this paper, we extend the Hijazi inequality, involving the Energy-Momentum tensor, for the eigenvalues of the Dirac operator on SpincSpin^c manifolds without boundary. The limiting case is then studied and an example is given.

Keywords

Cite

@article{arxiv.1007.4924,
  title  = {Lower Bounds for the Eigenvalues of the Dirac Operator on $Spin^c$ Manifolds},
  author = {Roger Nakad},
  journal= {arXiv preprint arXiv:1007.4924},
  year   = {2015}
}

Comments

17 pages