Frame-independent mechanics:geometry on affine bundles
arXiv:math/0510069
Abstract
Main ideas of the differential geometry on affine bundles are presented. Affine counterparts of Lie algebroid and Poisson structures are introduced and discussed. The developed concepts are applied in a frame-independent formulation of the time-dependent and the Newtonian mechanics.
14 pages, to appear in Proceedings of Poisson Geometry, Luxembourg, June 7-11, 2004. References corrected and added