Lower bounds for the eigenvalue estimates of the submanifold Dirac operator
Differential Geometry
2020-10-27 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We get optimal lower bounds for the eigenvalues of the submanifold Dirac operator on locally reducible Riemannian manifolds in terms of intrinsic and extrinsic expressions. The limiting-cases are also studied. As a corollary, one gets several known results in this direction.
Cite
@article{arxiv.2010.13016,
title = {Lower bounds for the eigenvalue estimates of the submanifold Dirac operator},
author = {Yongfa Chen},
journal= {arXiv preprint arXiv:2010.13016},
year = {2020}
}