Extrinsic eigenvalue estimates of the Dirac operator

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For a compact spin manifold $M$ isometrically embedded into Euclidean space, we derive the extrinsic estimates from above and below for eigenvalues of the Dirac operators, which depend on the second fundamental form of the embedding. We also show the bounds of the ratio of the eigenvalues.
12pages,submitted to "Math.Z.", Jun 2006

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Differential Geometry, 53C27,34L15, 35P15

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http://salesiana.dossiersoluciones.com/handle/123456789/122908

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701847
 http://arxiv.org/abs/math/0701847

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arXiv