A spectral estimate for the Dirac operator on Riemannian flows
Differential Geometry
2010-10-07 v1
Abstract
We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on Sasakian and on 3-dimensional manifolds and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.
Cite
@article{arxiv.1010.1107,
title = {A spectral estimate for the Dirac operator on Riemannian flows},
author = {Nicolas Ginoux and Georges Habib},
journal= {arXiv preprint arXiv:1010.1107},
year = {2010}
}