Mathematics – Differential Geometry
Scientific paper
2005-10-04
Mathematics
Differential Geometry
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.
Grabowska Katarzyna
Grabowski Jacek
Urbanski Pawel
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