Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500047 | Journal of Geometry and Physics | 2017 | 8 Pages |
Abstract
In this note, we get estimates on the eigenvalues of the Dirac operator on the manifold admitting a nontrivial parallel one-form, 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 et al. (1998).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yongfa Chen,