Geometry of Lagrangean structures. II

Demeter Krupka

Archivum Mathematicum (1986)

  • Volume: 022, Issue: 4, page 211-228
  • ISSN: 0044-8753

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Krupka, Demeter. "Geometry of Lagrangean structures. II." Archivum Mathematicum 022.4 (1986): 211-228. <http://eudml.org/doc/18198>.

@article{Krupka1986,
author = {Krupka, Demeter},
journal = {Archivum Mathematicum},
keywords = {general higher order variational calculus; differential forms on jet bundles},
language = {eng},
number = {4},
pages = {211-228},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Geometry of Lagrangean structures. II},
url = {http://eudml.org/doc/18198},
volume = {022},
year = {1986},
}

TY - JOUR
AU - Krupka, Demeter
TI - Geometry of Lagrangean structures. II
JO - Archivum Mathematicum
PY - 1986
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 022
IS - 4
SP - 211
EP - 228
LA - eng
KW - general higher order variational calculus; differential forms on jet bundles
UR - http://eudml.org/doc/18198
ER -

References

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  1. D. Krupka, A geometric theory of ordinary first order variational problems in fibered manifolds, I, Critical sections, J. Math. Anal. Appl. 49 (1975), 180-206. (1975) Zbl0312.58002MR0362397
  2. D. Krupka, On the local structure of the Euler-Lagrange mapping of the calculus of variations, Proc. Conf. on Diff. Geom. and Appl., Nové Město na Moravě, Sept. 1980; Univerzita Karlova, Prague (Czechoslovakia), 1982, 181-188. (1980) MR0663224
  3. D. Krupka, Some geometric aspects of variational problems in fibered manifolds, Folia Fac. Sci. Nat. UJEP Brunensis, 14, 1973. (1973) 
  4. B. Kupershmidt, Geometry of jet bundles and the structure of Lagrangian and Hamiltonian formalisms, Lecture Notes in Math. 775, Springer, Berlin, 1980, 162-218. (1980) Zbl0439.58016MR0569303
  5. F. Takens, A global version of the inverse problem of the calculus of variations, J. Differential Geom. 14 (1979), 543-562. (1979) Zbl0463.58015MR0600611
  6. W. Tulczyjew, The Euler-Lagrange resolution, Internat. Colloquium on Diff. Geom. Methods in Math. Physics, Aix-en-Provence, Sept. 1979; Lecture Notes in Math. 836, Springer, Berlin, 1980, 22-48. (1979) MR0607685

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