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

Abstract

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.

26 pages

References in corpus (5)

• Classical field theory on Lie algebroids: Variational aspects
• Discrete Lagrangian field theories on Lie groupoids
• Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
• Lagrangian submanifolds and dynamics on Lie affgebroids
• K-symplectic formalism on Lie algebroids