@article{10_21136_CMJ_1977_101449,
author = {Krupka, Demeter},
title = {A map associated to the {Lepagian} forms on the calculus of variations in fibred manifolds},
journal = {Czechoslovak Mathematical Journal},
pages = {114--117},
year = {1977},
volume = {27},
number = {1},
doi = {10.21136/CMJ.1977.101449},
mrnumber = {0431272},
zbl = {0373.58004},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1977.101449/}
}
TY - JOUR AU - Krupka, Demeter TI - A map associated to the Lepagian forms on the calculus of variations in fibred manifolds JO - Czechoslovak Mathematical Journal PY - 1977 SP - 114 EP - 117 VL - 27 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1977.101449/ DO - 10.21136/CMJ.1977.101449 LA - en ID - 10_21136_CMJ_1977_101449 ER -
%0 Journal Article %A Krupka, Demeter %T A map associated to the Lepagian forms on the calculus of variations in fibred manifolds %J Czechoslovak Mathematical Journal %D 1977 %P 114-117 %V 27 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1977.101449/ %R 10.21136/CMJ.1977.101449 %G en %F 10_21136_CMJ_1977_101449
Krupka, Demeter. A map associated to the Lepagian forms on the calculus of variations in fibred manifolds. Czechoslovak Mathematical Journal, Tome 27 (1977) no. 1, pp. 114-117. doi: 10.21136/CMJ.1977.101449
[1] E. Cartan: Lecons sur les invariants intégraux. Hermann, Paris, 1922. | MR
[2] H. Goldschmidt S. Sternberg: The Hamilton-Cartan formalism in the calculus of variations. Ann. Inst. Fourier, Grenoble, 23 (1973), 203-267. | DOI | MR
[3] R. Hermann: Geometry, Physics and Systems. Dekker, New York, 1973. | MR | Zbl
[4] I. Kolář: On the hamilton formalism in fibered manifolds. Scripta Fac. Sci. Nat. UJЕР Brunensis, Physica 3-4 (1975), 249-254. | MR
[5] D. Krupka: A geometric theory of ordinary first order variational problems in fibred manifolds. I. Critical sections. J. Math. Anal. Appl. 49 (1975), 180-206. | DOI | MR
[6] D. Krupka: Some geometric aspects of variational problems in fibred manifolds. Folia Fac. Sci. Nat. Univ. Brunensis, XIV, 10, 1973.
[7] Th. H. J. Lepage: Sur les champs géodésiques du Calcul des Variations. Bull. Acad. Roy. Belg. Cl. Sci. V, 22 (1936), 716-729, 1036-1046. | Zbl
[8] J. Śniatycki: On the geometric structure of classical field theory in Lagrangian formulation. Proc. Cambridge Philos. Soc. 68 (1970), 475-484. | MR
Cité par Sources :