Eigenvalue estimates of the Dirac operator depending on the Ricci tensor
Differential Geometry
2007-05-23 v1
Abstract
We prove a new lower bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold by refined Weitzenb\"ock techniques. It applies to manifolds with harmonic curvature tensor and depends on the Ricci tensor. Examples show how it behaves compared to other known bounds.
Cite
@article{arxiv.math/0104121,
title = {Eigenvalue estimates of the Dirac operator depending on the Ricci tensor},
author = {Thomas Friedrich and Klaus-Dieter Kirchberg},
journal= {arXiv preprint arXiv:math/0104121},
year = {2007}
}
Comments
Latex2.09, 15 pages