International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 12, Pages 687-699
doi:10.1155/S0161171202013212
A geometrical analysis of the field equations in field theory
A. Echeverría-Enríquez
, M.C. Muñoz-Lecanda
and N. Román-Roy
Departamento de Matemática Aplicada IV., Edificio C-3, Campus Norte UPC., C/ Jordi Girona 1., Barcelona E-08034, Spain
Abstract
We give a geometric 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 nonuniqueness of solutions of these equations, as well as their integrability.