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M. FERRARIS, Fibered connections and global Poincaré-Cartan forms in higher-order Calculus of Variations. To appear in the Proceedings of the Conference on Diff. Geom. and its Applications, Nové Mesto na Morave, Czechoslovakia, 1983.
P. GARCIA, The Poincaré-Cartan Invariant in the Calculus of Variations, Symposia Math., 14, Academic Press (London, 1974), pp. 219–246.
P. GARCIA, J. MUÑOZ, On the Geometrical Structure of higher order Variational Calculus, Proceedings of the IUTAM-ISIMM Symposium on Modern Developments in Analytical Mechanics, Torino, 1982, Volume I-Geometrical Dynamics, pp. 127–147.
H. GOLDSCHMIDT, S. STERNBERG, The Hamilton-Cartan Formalism in the Calculus of Variations, Ann. Inst. Fourier, 23, pp. 203–267 (1073).
M. HÓRAK, I. KOLÁŘ, On the higher order Poincaré-Cartan Forms, ČSAV Brno, (preprint, 1982).
D. KRUPKA, Some Geometric Aspects of Variational Problems in Fibered Manifolds, Folia Fac. Sci. Nat. UJEP Brunensis XIV, pp. 1–65 (1973).
D. KRUPKA, Lepagean Forms in Higher Order Variational Theory, Proceedings of the IUTAM-ISIMM Symposium on Modern Developments in Analytical Mechanics, Torino, 1982, Volume I-Geometrical Dynamics, pp. 197–238.
J. MUÑOZ, Formes de structure et transformations infinitésimales de contact d'ordre supérieur, C.R. Acad. Sc. Paris, t. 298, Série I, no 8, pp. 185–188 (1984).
S. STERNBERG, Some Preliminary Remarks on the Formal Variational Calculus of Gel'fand and Dikii, Lect. Not. in Math., 676, Springer-Verlag (Berlin, 1978), pp. 399–407.
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Masqué, J.M. (1985). An axiomatic characterization of the poincare-cartan form for second order variational problems. In: Doebner, HD., Hennig, JD. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 1139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074577
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DOI: https://doi.org/10.1007/BFb0074577
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