Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure
Differential Geometry
2007-05-23 v1
Abstract
We study some similarities between almost product Riemannian structures and almost Hermitian structures. Inspired by the similarities, we prove lower eigenvalue estimates for the Dirac operator on compact Riemannian spin manifolds with locally product structures. We also provide some examples (limiting manifolds) for the limiting case of the estimates.
Keywords
Cite
@article{arxiv.math/0402427,
title = {Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure},
author = {Eui Chul Kim},
journal= {arXiv preprint arXiv:math/0402427},
year = {2007}
}
Comments
19 pages