Mathematics – Differential Geometry
Scientific paper
2002-03-18
Mathematics
Differential Geometry
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.
Martinez Eduardo
Mestdag Tom
Sarlet Willy
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