Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors

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We prove a lower bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold depending on the scalar curvature as well as a chosen Codazzi tensor. The inequality generalizes the classical estimate from [2].
8 pages

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Differential Geometry, 53C25; 53C27

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http://salesiana.dossiersoluciones.com/handle/123456789/137422

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.0780
 http://arxiv.org/abs/0709.0780

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arXiv