The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds |
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| Authors: | Bogdan Alexandrov |
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| Affiliation: | Universität Greifswald, Institut für Mathemathik und Informatik, Friedrich-Ludwig-Jahn-Strasse 15a, 17487 Greifswald, Germany |
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| Abstract: | We prove a lower estimate for the first eigenvalue of the Dirac operator on a compact locally reducible Riemannian spin manifold with positive scalar curvature. We determine also the universal covers of the manifolds on which the smallest possible eigenvalue is attained. |
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| Keywords: | 53C27 53C15 35P15 |
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