Eigenvalue estimates of the Dirac operator depending on the Ricci tensor

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We prove a new lower bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold by refined Weitzenböck techniques. It applies to manifolds with harmonic curvature tensor and depends on the Ricci tensor. Examples show how it behaves compared to other known bounds.
Latex2.09, 15 pages

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Differential Geometry, 53C27, 53C25

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http://salesiana.dossiersoluciones.com/handle/123456789/61283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104121
 http://arxiv.org/abs/math/0104121

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arXiv