Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
We consider the Dirac operator on compact quaternionic Kaehler manifolds and prove a lower bound for the spectrum. This estimate is sharp since it is the first eigenvalue of the Dirac operator on the quaternionic projective space.
Cite
@article{arxiv.dg-ga/9703021,
title = {Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds},
author = {W. Kramer and U. Semmelmann and G. Weingart},
journal= {arXiv preprint arXiv:dg-ga/9703021},
year = {2008}
}
Comments
22 pages, LaTeX2e, fullpage style