Ginoux, Nicolas and Habib, Georges (2010) A spectral estimate for the Dirac operator on Riemannian flows. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 8 (5). pp. 950-965. ISSN 1895-1074,
Full text not available from this repository. (Request a copy)Abstract
We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on both Sasakian and 3-dimensional manifolds, and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 1ST EIGENVALUE; MANIFOLDS; GEOMETRY; SPINORS; METRICS; BOUNDS; Foliations; Sasakian manifolds; Spin geometry; Spectral geometry; Estimation of eigenvalues - upper and lower bounds |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Jul 2020 11:38 |
| Last Modified: | 08 Jul 2020 11:38 |
| URI: | https://pred.uni-regensburg.de/id/eprint/24048 |
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