Reduced classical field theories. k-cosymplectic formalism on Lie algebroids

Details Reduced classical field theories. k-cosymplectic formalism on Lie algebroids Reduced classical field theories. k-cosymplectic formalism on Lie algebroids

2010-01-07

arxiv.org/abs/1001.1177v1

Physics

Mathematical Physics

26 pages

Scientific paper

In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field theories on Lie algebroids in the framework of $k$-cosymplectic geometry. We discuss the relation between Lagrangian and Hamiltonian descriptions through a convenient notion of Legendre transformation. The theory is a natural generalization of the standard one; in addition, other interesting examples are studied, mainly on reduction of classical field theories.

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