English

Eigenvalues of the transversal Dirac operator on Kahler foliations

Differential Geometry 2009-11-13 v1

Abstract

In this paper, we prove Kirchberg inequalities for any kahler spin foliations. Their limiting cases are then characterized as being transversal minimal Einstein foliations. The key point is to introduce the transversal kahlerian twistor operators.

Keywords

Cite

@article{arxiv.0707.0202,
  title  = {Eigenvalues of the transversal Dirac operator on Kahler foliations},
  author = {Georges Habib},
  journal= {arXiv preprint arXiv:0707.0202},
  year   = {2009}
}
R2 v1 2026-06-21T08:54:19.425Z