Lepage forms theory applied

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Authors

LENC Michal MUSILOVÁ Jana CZUDKOVÁ Lenka

Year of publication 2009
Type Article in Periodical
Magazine / Source Archivum Mathematicum (Brno)
MU Faculty or unit

Faculty of Science

Citation
Field Theoretical physics
Keywords fibred manifold; Lagrangian; Lepage form; conservation laws; relativistic mechanics
Description 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.
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