Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity

Olga Krupková

Archivum Mathematicum (1986)

  • Volume: 022, Issue: 2, page 97-120
  • ISSN: 0044-8753

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Krupková, Olga. "Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity." Archivum Mathematicum 022.2 (1986): 97-120. <http://eudml.org/doc/18184>.

@article{Krupková1986,
author = {Krupková, Olga},
journal = {Archivum Mathematicum},
keywords = {Lepagean form; locally variational form; Euler-Lagrange form; Hamiltonian mechanics; Legendre transformation},
language = {eng},
number = {2},
pages = {97-120},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity},
url = {http://eudml.org/doc/18184},
volume = {022},
year = {1986},
}

TY - JOUR
AU - Krupková, Olga
TI - Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity
JO - Archivum Mathematicum
PY - 1986
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 022
IS - 2
SP - 97
EP - 120
LA - eng
KW - Lepagean form; locally variational form; Euler-Lagrange form; Hamiltonian mechanics; Legendre transformation
UR - http://eudml.org/doc/18184
ER -

References

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  1. I. M. Anderson T. Duchamp, On the existence of global variational principles, Amer. J. Math. 102 (1980), 781-868. (1980) Zbl0454.58021MR0590637
  2. P. Dedecker, Le théorème de Helmholtz-Cartan pour une intégrale simple d'ordre superieur, C. R. Acad. Sci. Paris, Sér. A, 288 (1979), 827-830. (1979) Zbl0404.49038MR0535646
  3. Th. de Donder, Théorie invariantive du calcul des variations, Gauthier-Villars, Paris, 1930. (1930) Zbl55.0903.03
  4. H. Goldschmidt S. Sternberg, The Hamilton-Cartan formalism in the calculus of variations, Ann. Inst. Fourier (Grenoble), 23 (1973), 203-267. (1973) Zbl0243.49011MR0341531
  5. L. Klapka, Euler-Lagrange expressions and closed two-forms in higher order mechanics, Geometrical Methods in Physics, Proc. Conf. Diff. Geom. Appl., Sept. 1983; J. E. Purkyně University, Brno, 1984, 149-153. (1983) Zbl0552.70011MR0793205
  6. D. Krupka, Some geometric aspects of variational problems in fibered manifolds, Folia Fac. Sci. Nat. UJEP Brunensis XIV (1973), 1-65. (1973) 
  7. D. Krupka, On the local structure of the Euler-Lagrange mapping of the calculus of variations, Proc. Conf. Diff. Geom. Appl., Sept. 1980; Charles University, Prague, 1981, 181-187. (1980) Zbl0513.49027MR0663224
  8. D. Krupka, Lepagean forms in higher order variational theory, Proc. IUTAM-ISIMM Symposium on Modern Developments in Analytical Mechanics, June 1982; Acad. Sci. Turin 117 (1983), 197-238. (1982) Zbl0572.58003MR0773488
  9. D. Krupka, On the higher order Hamilton theory in fibered spaces, Geometrical Methods in Physics, Proc. Conf. Diff. Geom. Appl., Sept. 1983; J. E. Purkyně University, Brno, 1984, 167-183. (1983) Zbl0598.58022MR0793207
  10. D. Krupka J. Musilová, Hamilton extremals in higher order mechanics, Arch. Math. (Brno) 20 (1984), 21-30. (1984) Zbl0531.58021MR0785043
  11. D. Krupka O. Štěpánková, On the Hamilton form in second order calculus of variations, Proc. Internat. Meeting "Geometry and Physics", Florence, Oct. 1982; Pitagora Editrice Bologna (1983), 85-101. (1982) Zbl0548.49020MR0760838
  12. A. L. Vanderbauwhede, Potential operators and the inverse problem of classical mechanics, Hadronic Journal 1 (1978), 1177-1197. (1978) Zbl0431.47033MR0510098

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