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arxiv: math/0505117 · v3 · pith:X75M35QLnew · submitted 2005-05-09 · 🧮 math.DG · math-ph· math.MP

Lagrangian submanifolds and dynamics on Lie affgebroids

classification 🧮 math.DG math-phmath.MP
keywords lagrangianaffgebroiddynamicssubmanifoldsaffgebroidsdescribediscussedexamples
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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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