On the higher order Poincaré-Cartan forms
Czechoslovak Mathematical Journal, Tome 33 (1983) no. 3, pp. 467-475
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DOI : 10.21136/CMJ.1983.101896
Classification : 58A20, 58F05, 70H25
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Horák, Michal; Kolář, Ivan. On the higher order Poincaré-Cartan forms. Czechoslovak Mathematical Journal, Tome 33 (1983) no. 3, pp. 467-475. doi: 10.21136/CMJ.1983.101896

[1] P. L. Garcia: The Poincaré-Cartan invariant in the calculus of variations. Istituto Nazionale di Alta Matematica, Symposia Matematica XIV, Roma 1974, 219-246. | MR | Zbl

[2] H. Goldschmidt S. Sternberg: The Hamilton formalism in the calculus of variations. Ann. Inst. Fourier (Grenoble), 23 (1973), 203-267. | DOI | MR

[3] I. Kolář: On the Hamilton formalism in fibered manifolds. Scripta Fac. Sci. Nat. UJEP Brunensis, Physica 3-4, 5 (1975), 249-254. | MR

[4] I. Kolář: Lie derivatives and higher order Lagrangians. Proceedings of the conference on differential geometry and its applications, Universita Karlova Praha 1982, 117-123. | MR

[5] D. Krupka: Natural Lagrangian structures. to appear in Banach Center Publications, Warsaw. | MR | Zbl

[6] R. Ragionieri R. Ricci: Hamiltonian formalism in the calculus of variations. Bolletino U.M.I. (5) 18-B (1981), 119-130. | MR

[7] S. Sternberg: Lectures on differential geometry. Prentice-Hall, New Jersey, 1964. | MR | Zbl

[8] A. Trautman: Invariance of Lagrangian systems. General Relativity. Papers in honour J. L. Synge, Clarendon Press, Oxford 1972, 85-99. | MR

[9] M. Francaviglia D. Krupka: The Hamilton formalism in higher order variational problems. to appear in Ann. Inst. H. Poincaré. | MR

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