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Frame-independent mechanics:geometry on affine bundles

K. Grabowska·J. Grabowski·P. Urbanski
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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.

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K. Grabowska, J. Grabowski, P. Urbanski. 2005-10-04. Frame-independent mechanics:geometry on affine bundles. https://arxiv.org/abs/math/0510069

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