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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}
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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/

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