fibred manifold; Lagrangian; Lepage form; conservation laws; relativistic mechanics
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.
 Krupka, D.: Global variational theory in fibred spaces
. Handbook of global analysis (Krupka, D., Saunders, D., eds.), Elsevier, 2007, pp. 773–836. MR 2389646
 Krupková, O.: The Geometry of Ordinary Variational Equations
. Lecture Notes in Math., vol. 1678, Springer, Berlin, 1997. MR 1484970
 Musilová, J., Lenc, M.: Lepage forms in variational theories: From Lepage’s idea to the variational sequence
. Variations, Geometry and Physics (2008), 1–31, O. Krupková and D. Saunders (Editors). Nova Science Publishers. MR 2523430