Geodesic
Lepage forms theory applied
Archivum mathematicum, Tome 45 (2009) no. 4, pp. 279-287 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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},
     year = {2009},
     volume = {45},
     number = {4},
     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/