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Lagrangian submanifolds and dynamics on Lie affgebroids

D. Iglesias, J. C. Marrero, E. Padrón, D. Sosa

math.DGarXiv:math/0505117

Abstract

We introduce the notion of a symplectic Lie affgebroid and their Lagrangian submanifolds in order to describe the Lagrangian (Hamiltonian) dynamics on a Lie affgebroid in terms of this type of structures. Several examples are discussed.

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