  In this paper we introduce a geometric description of Lagrangian and
Hamiltonian classical field theories on Lie algebroids in the framework of
k-symplectic 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, in particular, systems with
symmetry and Poisson sigma models.
