The Variational Sequence on Finite Jet Bundle Extensions and the Lagrangian Formalism
Abstract
The geometric Lagrangian theory (of arbitrary order) is based on the analysis of some basic mathematical objects such as: the contact ideal, the (exact) variational sequence, the existence of EulerLagrange and HelmholtzSonin forms, etc. In this paper we give new and much simpler proofs for the whole theory using Fock space methods. Using these results we give the most general expression for a variationally trivial Lagrangian and the generic expression for a locally variational system of partial differential equation.
 Publication:

eprint arXiv:dgga/9702016
 Pub Date:
 February 1997
 DOI:
 10.48550/arXiv.dgga/9702016
 arXiv:
 arXiv:dgga/9702016
 Bibcode:
 1997dg.ga.....2016R
 Keywords:

 Mathematics  Differential Geometry;
 High Energy Physics  Theory
 EPrint:
 67 pages, many improvements, some proofs are presented in more detail