English

A Lie algebroid framework for non-holonomic systems

Differential Geometry 2009-11-10 v1 Mathematical Physics math.MP

Abstract

In order to obtain a framework in which both non-holonomic mechanical systems and non-holonomic mechanical systems with symmetry can be described, we introduce in this paper the notion of a Lagrangian system on a subbundle of a Lie algebroid.

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Cite

@article{arxiv.math/0410460,
  title  = {A Lie algebroid framework for non-holonomic systems},
  author = {Tom Mestdag and Bavo Langerock},
  journal= {arXiv preprint arXiv:math/0410460},
  year   = {2009}
}

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18 pages