Lagrangian submanifolds and dynamics on Lie affgebroids

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.

50 pages. Several sections updated

References in corpus (1)

• Lagrangian submanifolds and dynamics on Lie algebroids

Cited by in corpus (10)

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• AV-differential geometry and Newtonian mechanics
• A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids
• Reduced classical field theories. k-cosymplectic formalism on Lie algebroids