Lie brackets on affine bundles

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Natural analogs of Lie brackets on affine bundles are studied, based on natural examples from differential geometry and analytical mechanics. In particular, a close relation to Lie algebroids and, by a sort of duality, to affine analogs of Poisson structures is established as well as affine versions of the complete lift of a section and the Cartan exterior calculus.
22 pages, Lamstex. The revised version, to appear in Annals of Global Analysis and Geometry

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Differential Geometry, Rings and Algebras, 53A15 (Primary); 17B66, 17B99, 53D17 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/63546

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203112
 http://arxiv.org/abs/math/0203112
 Ann. Global Anal. Geom. 24 (2003), 101-130

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arXiv