Lie algebroid structures and Lagrangian systems on affine bundles

Mathematics – Differential Geometry

Scientific paper

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28 pages, Latex

Scientific paper

10.1016/S0393-0440(02)00114-6

As a continuation of previous papers, we study the concept of a Lie algebroid
structure on an affine bundle by means of the canonical immersion of the affine
bundle into its bidual. We pay particular attention to the prolongation and
various lifting procedures, and to the geometrical construction of
Lagrangian-type dynamics on an affine Lie algebroid.

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