Lie brackets on affine bundles
Differential Geometry
2007-05-23 v2 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math/0203112,
title = {Lie brackets on affine bundles},
author = {Janusz Grabowski and Katarzyna Grabowska and Pawel Urbanski},
journal= {arXiv preprint arXiv:math/0203112},
year = {2007}
}
Comments
22 pages, Lamstex. The revised version, to appear in Annals of Global Analysis and Geometry