The second Dirac eigenvalue of a nearly parallel $G_2$-manifold
Differential Geometry
2011-04-06 v1
Abstract
We investigate the second Dirac eigenvalue on Riemannian manifolds admitting a Killing spinor. In small dimensions the whole Dirac spectrum depends on special eigenvalues on functions and 1-forms. We compute and discuss the formulas in dimension .
Keywords
Cite
@article{arxiv.1104.0745,
title = {The second Dirac eigenvalue of a nearly parallel $G_2$-manifold},
author = {Thomas Friedrich},
journal= {arXiv preprint arXiv:1104.0745},
year = {2011}
}
Comments
10 pages