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Structures symplectiques faibles et intégrabilité globale de certains systèmes hamiltoniens. (French) Zbl 0347.58006

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
58E10 Variational problems in applications to the theory of geodesics (problems in one independent variable)
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References:

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[3] CHERNOFF-MARSDEN , Properties of Infinite dimensional hamiltonien systems , (Springer-Verlag, Lecture Notes in mathematics, 425), 1974 . Zbl 0301.58016 · Zbl 0301.58016
[4] MORENO , Sur les noyaux de la théorie quantique des champs sur un espace-temps courbe (Thèse d’Etat, Université Claude-Bernard de LYON), 1975 .
[5] PENOT , Topologie faible sur les variétés de Banach, Application aux géodésiques des variétés de Sobolev (J. Differential Geometry 9 ; 141-168), 1974 . MR 57 #10730 | Zbl 0279.58006 · Zbl 0279.58006
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[8] WEINSTEIN , Symplectic manifolds and their Lagrangian submanifolds (Advances in Math. 6, 329-346), 1971 . MR 44 #3351 | Zbl 0213.48203 · Zbl 0213.48203
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