Geodesic
Lepage forms theory applied
Archivum mathematicum, Tome 45 (2009) no. 4, pp. 279-287

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 49Q20, 49S05, 53Z05, 70H33
Keywords: fibred manifold; Lagrangian; Lepage form; conservation laws; relativistic mechanics 
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     author = {Lenc, Michal and Musilov\'a, Jana and Czudkov\'a, Lenka},
     title = {Lepage forms theory applied},
     journal = {Archivum mathematicum},
     pages = {279--287},
     publisher = {mathdoc},
     volume = {45},
     number = {4},
     year = {2009},
     mrnumber = {2591682},
     zbl = {1212.49060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2009__45_4_a4/}
}
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Lenc, Michal; Musilová, Jana; Czudková, Lenka. Lepage forms theory applied. Archivum mathematicum, Tome 45 (2009) no. 4, pp. 279-287. http://geodesic.mathdoc.fr/item/ARM_2009__45_4_a4/