8 citations · 26 across the 12 of their papers we have counts for
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math.DG2005★ 4 cited
Frame-independent mechanics:geometry on affine bundles
K. Grabowska, J. Grabowski, P. Urbanski
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 con…
math-ph2005★ 1 cited
Geometrical Mechanics on algebroids
K. Grabowska, J. Grabowski, P. Urbański
A natural geometric framework is proposed, based on ideas of W. M. Tulczyjew, for constructions of dynamics on general algebroids. One obtains formalisms similar to the Lagrangian…