The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds

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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.
7 pages

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Differential Geometry, 53C27; 53C15; 35P15

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http://salesiana.dossiersoluciones.com/handle/123456789/74321

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502536
 http://arxiv.org/abs/math/0502536

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arXiv