Lagrangian submanifolds and dynamics on Lie affgebroids

Details Lagrangian submanifolds and dynamics on Lie affgebroids Lagrangian submanifolds and dynamics on Lie affgebroids

2005-05-09

arxiv.org/abs/math/0505117v3

Mathematics

Differential Geometry

50 pages. Several sections updated

Scientific paper

10.1016/S0034-4877(06)80029-7

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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