Nakad, Roger and Pilca, Mihaela (2015) Eigenvalue Estimates of the spin(c) Dirac Operator and Harmonic Forms on Kahler-Einstein Manifolds. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 11: 054. ISSN 1815-0659,
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We establish a lower bound for the eigenvalues of the Dirac operator defined on a compact Kahler-Einstein manifold of positive scalar curvature and endowed with particular spin(c) structures. The limiting case is characterized by the existence of Kahlerian Killing spin(c) spinors in a certain subbundle of the spinor bundle. Moreover, we show that the Clifford multiplication between an effective harmonic form and a Kahlerian Killing spin(c) spinor field vanishes. This extends to the spin(c) case the result of A. Moroianu stating that, on a compact Kahler-Einstein manifold of complex dimension 4l + 3 carrying a complex contact structure, the Clifford multiplication between an effective harmonic form and a Kahlerian Killing spinor is zero.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COMPLEX CONTACT STRUCTURES; KILLING SPINORS; 1ST EIGENVALUE; LOWER BOUNDS; MONOPOLES; spin(c) Dirac operator; eigenvalue estimate; Kahlerian Killing spinor; parallel form; harmonic form |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Jul 2019 14:09 |
| Last Modified: | 29 Jul 2019 14:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6220 |
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