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.Comment: 26 page

de Diego, D. Martin