A geometrical analysis of the field equations in field theory

Abstract

In this review paper we give a geometrical formulation of the field equations in the Lagrangian and Hamiltonian formalisms of classical field theories (of first order) in terms of multivector fields. This formulation enables us to discuss the existence and non-uniqueness of solutions, as well as their integrability.

arXiv comment14 pages. LaTeX file. This is a review paper based on previous works by the same authors