Lagrangian Submanifolds and Dynamics on Lie Affgebroids
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چکیده
We introduce the notion of a symplectic Lie affgebroid and their Lagrangian submanifolds in order to describe time-dependent Mechanics in terms of this type of structures. Analogous to the autonomous case, we construct the Tulczyjew’s triple associated with a Lie affgebroid and a Hamiltonian section. We describe our theory with several examples.
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تاریخ انتشار 2005