Lie brackets on affine bundles

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dc.creatorGrabowski, Janusz
dc.creatorGrabowska, Katarzyna
dc.creatorUrbanski, Pawel
dc.date2002-03-12
dc.date2003-03-19
dc.date.accessioned2026-07-07T04:46:59Z
dc.date.available2026-07-07T04:46:59Z
dc.descriptionNatural 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.
dc.description22 pages, Lamstex. The revised version, to appear in Annals of Global Analysis and Geometry
dc.identifierhttps://arxiv.org/abs/math/0203112
dc.identifierhttp://arxiv.org/abs/math/0203112
dc.identifierAnn. Global Anal. Geom. 24 (2003), 101-130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63546
dc.subjectDifferential Geometry
dc.subjectRings and Algebras
dc.subject53A15 (Primary); 17B66, 17B99, 53D17 (Secondary)
dc.titleLie brackets on affine bundles
dc.typetext

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