A map associated to the Lepagian forms on the calculus of variations in fibred manifolds

Demeter Krupka

Czechoslovak Mathematical Journal (1977)

  • Volume: 27, Issue: 1, page 114-118
  • ISSN: 0011-4642

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Krupka, Demeter. "A map associated to the Lepagian forms on the calculus of variations in fibred manifolds." Czechoslovak Mathematical Journal 27.1 (1977): 114-118. <http://eudml.org/doc/12985>.

@article{Krupka1977,
author = {Krupka, Demeter},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {114-118},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A map associated to the Lepagian forms on the calculus of variations in fibred manifolds},
url = {http://eudml.org/doc/12985},
volume = {27},
year = {1977},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 1
SP - 114
EP - 118
LA - eng
UR - http://eudml.org/doc/12985
ER -

References

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  1. E. Cartan, Lecons sur les invariants intégraux, Hermann, Paris, 1922. (1922) MR0355764
  2. H. Goldschmidt S. Sternberg, 10.5802/aif.451, Ann. Inst. Fourier, Grenoble, 23 (1973), 203-267. (1973) MR0341531DOI10.5802/aif.451
  3. R. Hermann, Geometry, Physics and Systems, Dekker, New York, 1973. (1973) Zbl0285.58001MR0494183
  4. I. Kolář, On the hamilton formalism in fibered manifolds, Scripta Fac. Sci. Nat. UJЕР Brunensis, Physica 3-4 (1975), 249-254. (1975) MR0442978
  5. D. Krupka, 10.1016/0022-247X(75)90169-9, J. Math. Anal. Appl. 49 (1975), 180-206. (1975) MR0362397DOI10.1016/0022-247X(75)90169-9
  6. D. Krupka, Some geometric aspects of variational problems in fibred manifolds, Folia Fac. Sci. Nat. Univ. Brunensis, XIV, 10, 1973. (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. (1936) Zbl0016.26201
  8. J. Śniatycki, On the geometric structure of classical field theory in Lagrangian formulation, Proc. Cambridge Philos. Soc. 68 (1970), 475-484. (1970) MR0261936

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