Lie-algebroid formulation of k-cosymplectic classical field theories

Abstract

The k-cosymplectic formalism is the generalization to field theories of the cosymplectic formalism, which is the geometric framework for describing non-autonomous dynamical systems. In [5], A. Weinstein introduced a new geometric framework for giving a more generic description of Lagrangian mechanics. This approach was followed and completed by other authors for studying different kinds of problems concerning mechanical systems (a good survey on this subject is [1]). The extension of this formalism to classical field theories has been made, in [3] for the multisymplectic formalism. This poster, which is based on the developments made in [4], is devoted to presenting a Hamiltonian k-cosymplectic description of field theories in terms of Lie algebroids.