The Dirac operator on locally reducible Riemannian manifolds
Differential Geometry
2018-10-09 v2
Abstract
In this paper, we get estimates on the higher eigenvalues of the Dirac operator on locally reducible Riemannian manifolds, in terms of the eigenvalues of the Laplace-Beltrami operator and the scalar curvature. These estimates are sharp, in the sense that, for the first eigenvalue, they reduce to the result of Alexandrov.
Keywords
Cite
@article{arxiv.1704.07914,
title = {The Dirac operator on locally reducible Riemannian manifolds},
author = {Yongfa Chen},
journal= {arXiv preprint arXiv:1704.07914},
year = {2018}
}