Singular lagrangian systems and variational constrained mechanics on Lie algebroids

Details Singular lagrangian systems and variational constrained mechanics on Lie algebroids Singular lagrangian systems and variational constrained mechanics on Lie algebroids

2007-06-19

arxiv.org/abs/0706.2789v2

Mathematics

Differential Geometry

42 pages, Section with examples improved

Scientific paper

The purpose of this paper is describe Lagrangian Mechanics for constrained systems on Lie algebroids, a natural framework which covers a wide range of situations (systems on Lie groups, quotients by the action of a Lie group, standard tangent bundles...). In particular, we are interested in two cases: singular Lagrangian systems and vakonomic mechanics (variational constrained mechanics). Several examples illustrate the interest of these developments.

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