La théorie des perturbations au voisinage des systèmes hamiltoniens convexes
Lagrangian formalism in the classical field theory
Lepage forms theory applied
In the presented paper we apply the theory of Lepage forms on jet prolongations of fibred manifold with one-dimensional base to the relativistic mechanics. Using this geometrical theory, we obtain and discuss some well-known conservation laws in their general form and apply them to a concrete physical example.
Lie algebroids in classical mechanics and optimal control.