The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds
β Scribed by Bogdan Alexandrov
- Book ID
- 108137737
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 173 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0393-0440
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π SIMILAR VOLUMES
## 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
## 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