On the Lagrange-Souriau form in classical field theory
D. R. Grigore, Octavian T. Popp (1998)
Mathematica Bohemica
Similarity:
The Euler-Lagrange equations are given in a geometrized framework using a differential form related to the Poincare-Cartan form. This new differential form is intrinsically characterized; the present approach does not suppose a distinction between the field and the space-time variables (i.e. a fibration). In connection with this problem we give another proof describing the most general Lagrangian leading to identically vanishing Euler-Lagrange equations. This gives the possibility to...