• Corpus ID: 119131791

Geometrical Mechanics on algebroids

@inproceedings{KGrabowska2005GeometricalMO,
  title={Geometrical Mechanics on algebroids},
  author={K.Grabowska and J.Grabowski and P.Urba'nski},
  year={2005}
}
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 and the Hamiltonian ones. In contrast with recently studied concepts of Analytical Mechanics on Lie algebroids, this approach requires much less than the presence of a Lie algebroid structure on a vector bundle, but it still reproduces the main features of the Analytical Mechanics, like the Euler-Lagrange-type… 

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