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 
@article{ARM_2009__45_4_a4,
     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/}
}
TY  - JOUR
AU  - Lenc, Michal
AU  - Musilová, Jana
AU  - Czudková, Lenka
TI  - Lepage forms theory applied
JO  - Archivum mathematicum
PY  - 2009
SP  - 279
EP  - 287
VL  - 45
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2009__45_4_a4/
LA  - en
ID  - ARM_2009__45_4_a4
ER  - 
%0 Journal Article
%A Lenc, Michal
%A Musilová, Jana
%A Czudková, Lenka
%T Lepage forms theory applied
%J Archivum mathematicum
%D 2009
%P 279-287
%V 45
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2009__45_4_a4/
%G en
%F ARM_2009__45_4_a4
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/