Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure

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We study some similarities between almost product Riemannian structures and almost Hermitian structures. Inspired by the similarities, we prove lower eigenvalue estimates for the Dirac operator on compact Riemannian spin manifolds with locally product structures. We also provide some examples (limiting manifolds) for the limiting case of the estimates.
19 pages

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Differential Geometry, 53C25; 53C27; 58B20

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http://salesiana.dossiersoluciones.com/handle/123456789/70284

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402427
 http://arxiv.org/abs/math/0402427

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arXiv