Extrinsic eigenvalue estimates of the Dirac operator
Differential Geometry
2007-05-23 v1
Abstract
For a compact spin manifold isometrically embedded into Euclidean space, we derive the extrinsic estimates from above and below for eigenvalues of the Dirac operators, which depend on the second fundamental form of the embedding. We also show the bounds of the ratio of the eigenvalues.
Cite
@article{arxiv.math/0701847,
title = {Extrinsic eigenvalue estimates of the Dirac operator},
author = {Daguang Chen},
journal= {arXiv preprint arXiv:math/0701847},
year = {2007}
}
Comments
12pages,submitted to "Math.Z.", Jun 2006