Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations
Differential Geometry
2007-07-03 v1
Abstract
In this paper, we give an optimal lower bound for the eigenvalues of the basic Dirac operator on a quaternion-Kahler foliation. The limiting case is characterized by the existence of quaternion-Kahler Killing spinors. We end this paper by giving some examples.
Keywords
Cite
@article{arxiv.0707.0203,
title = {Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations},
author = {Georges Habib},
journal= {arXiv preprint arXiv:0707.0203},
year = {2007}
}