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Title: Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity (English)
Author: Krupková, Olga
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 22
Issue: 2
Year: 1986
Pages: 97-120
Category: math
MSC: 37J99
MSC: 58E30
MSC: 70H05
idZBL: Zbl 0637.58002
idMR: MR868124
Date available: 2008-06-06T06:15:59Z
Last updated: 2012-05-09
Stable URL:
Related article:
Reference: [1] I. M. Anderson T. Duchamp: On the existence of global variational principles.Amer. J. Math. 102 (1980), 781-868. MR 0590637
Reference: [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. Zbl 0404.49038, MR 0535646
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Reference: [4] H. Goldschmidt S. Sternberg: The Hamilton-Cartan formalism in the calculus of variations.Ann. Inst. Fourier (Grenoble), 23 (1973), 203-267. MR 0341531
Reference: [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. MR 0793205
Reference: [6] D. Krupka: Some geometric aspects of variational problems in fibered manifolds.Folia Fac. Sci. Nat. UJEP Brunensis XIV (1973), 1-65.
Reference: [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. MR 0663224
Reference: [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. MR 0773488
Reference: [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. MR 0793207
Reference: [10] D. Krupka J. Musilová: Hamilton extremals in higher order mechanics.Arch. Math. (Brno) 20 (1984), 21-30. MR 0785043
Reference: [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. MR 0760838
Reference: [12] A. L. Vanderbauwhede: Potential operators and the inverse problem of classical mechanics.Hadronic Journal 1 (1978), 1177-1197. Zbl 0431.47033, MR 0510098


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