Eigenvalue estimates for the Dirac operator depending on the Weyl curvature tensor
Differential Geometry
2009-11-07 v1
Abstract
We prove new lower bounds for the first eigenvalue of the Dirac operator on compact manifolds whose Weyl tensor or curvature tensor, respectively, is divergence free. In the special case of Einstein manifolds, we obtain estimates depending on the Weyl tensor.
Cite
@article{arxiv.math/0105055,
title = {Eigenvalue estimates for the Dirac operator depending on the Weyl curvature tensor},
author = {Thomas Friedrich and Klaus-Dieter Kirchberg},
journal= {arXiv preprint arXiv:math/0105055},
year = {2009}
}
Comments
Latex2.09, 9 pages