## Abstract For eigenvalues of generalized Dirac operators on compact Riemannian manifolds, we obtain a general inequality. By using this inequality, we study eigenvalues of generalized Dirac operators on compact submanifolds of Euclidean spaces, of spheres, and of real, complex and quaternionic pr
Symplectic Dirac Operators on Kähler Manifolds
✍ Scribed by Katharina Habermann
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 335 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
The aim of this paper is to prove the following result. PROPOSITION. Let G be a complex reducti¨e group, P and Q parabolic subgroups of G with P ; Q, and K a maximal compact subgroups of G. The K-in¨ariant Kahler᎐Einstein metric of GrP restricted to any fiber of the fibration GrP ª GrQ is again Kah
## Abstract If a compact real hypersurface of contact‐type in a complex number space admits a Ricci soliton, then it is a sphere. A compact Hopf hypersurface in a non‐flat complex space form does not admit a Ricci soliton. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
## 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
## Nofe udded in proof: Another proof of Lemma 4.1 was indicated to us by M. Ra'is.