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On the higher order Poincaré-Cartan forms. (English) Zbl 0545.58004

The authors develop some new aspects of the higher order Hamilton formalism in an arbitrary fibred manifold. Using a generalization of the formal exterior differentiation they obtain some generalizations of the results of Goldschmidt and Sternberg.
Reviewer: M.Puta

MSC:

58A15 Exterior differential systems (Cartan theory)

References:

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[2] H. Goldschmidt S. Sternberg: The Hamilton formalism in the calculus of variations. Ann. Inst. Fourier (Grenoble), 23 (1973), 203-267. · Zbl 0243.49011 · doi:10.5802/aif.451
[3] I. Kolář: On the Hamilton formalism in fibered manifolds. Scripta Fac. Sci. Nat. UJEP Brunensis, Physica 3-4, 5 (1975), 249-254.
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