On Parallel Sections of a Vector Bundle

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We consider when a smooth vector bundle endowed with a connection possesses non-trivial, local parallel sections. This is accomplished by means of a derived flag of subsets of the bundle. The procedure is algebraic and rests upon the Frobenius Theorem.
8 pages

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Differential Geometry, 53C05

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http://salesiana.dossiersoluciones.com/handle/123456789/158507

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.1732
 http://arxiv.org/abs/0804.1732

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arXiv