Lepage forms theory applied

Michal Lenc, Jana Musilová, and Lenka Czudková

Address: Institute of Theoretical Physics and Astrophysics Faculty of Science, Masaryk University Kotlářská 2, 611 37 Brno, Czech Republic


Abstract: 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.

AMSclassification: primary 49S05; secondary 53Z05.

Keywords: fibred manifold, Lagrangian, Lepage form, conservation laws, relativistic mechanics.