Frame-independent mechanics:geometry on affine bundles

Mathematics – Differential Geometry

Scientific paper

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14 pages, to appear in Proceedings of Poisson Geometry, Luxembourg, June 7-11, 2004. References corrected and added

Scientific paper

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.

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