Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type

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We study harmonic sections of a Riemannian vector bundle whose total space is equipped with a 2-parameter family of metrics which includes both the Sasaki and Cheeger-Gromoll metrics. This enables the theory of harmonic unit sections to be extended to bundles with non-zero Euler class.
25 pages

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Differential Geometry, 53C43, 53C07, 53C24, 58E15, 58E20, 58G30

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http://salesiana.dossiersoluciones.com/handle/123456789/108832

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602049
 http://arxiv.org/abs/math/0602049

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arXiv