A geometrical analysis of the field equations in field theory
Mathematical Physics
2016-08-16 v1 Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0105018,
title = {A geometrical analysis of the field equations in field theory},
author = {A. Echeverría-Enríquez and M. C. Muñoz-Lecanda and N. Román-Roy},
journal= {arXiv preprint arXiv:math-ph/0105018},
year = {2016}
}
Comments
14 pages. LaTeX file. This is a review paper based on previous works by the same authors