Article
Keywords:
fibred manifold; Lagrangian; Lepage form; conservation laws; relativistic mechanics
Summary:
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.
References:
[1] Krupka, D.:
Global variational theory in fibred spaces. Handbook of global analysis (Krupka, D., Saunders, D., eds.), Elsevier, 2007, pp. 773–836.
MR 2389646
[3] Krupková, O.:
The Geometry of Ordinary Variational Equations. Lecture Notes in Math., vol. 1678, Springer, Berlin, 1997.
MR 1484970
[5] 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