Complex contact structures and the first eigenvalue of the dirac operator on Kähler manifolds
✍ Scribed by K. -D. Kirchberg; U. Semmelmann
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 689 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1016-443X
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📜 SIMILAR VOLUMES
## By THOMAS FRIEDRICH of Berlin (Eingegangen am 9.9. 1980) Let M\* he a cony'act RIEMANNian spin inanifold with positive scalar curvature H and let R, denote its minimum. Consider the DIRAC operator D : r ( S ) + r ( S ) acting on sections of the associated spinor bundle S. If I.\* is the first p
On a foliated Riemannian manifold with a Kähler spin foliation, we give a lower bound for the square of the eigenvalues of the transversal Dirac operator. We prove, in the limiting case, that the foliation is a minimal, transversally Einsteinian of odd complex dimension with nonnegative constant tra