A. Echeverría-Enríquez, M. C. Muñoz-Lecanda, N. Román-Roy, "A geometrical analysis of the field equations in field theory", International Journal of Mathematics and Mathematical Sciences, vol. 29, Article ID 725865, 13 pages, 2002. https://doi.org/10.1155/S0161171202013212
A geometrical analysis of the field equations in field theory
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.
Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.