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On the generalization of symplectic geometry to multiple integrals in the calculus of variations. (English) Zbl 0352.49018
Differ. geom. Meth. math. Phys., Proc. Symp. Bonn 1975, Lect. Notes Math. 570, 395-456 (1977).

49Q99 Manifolds and measure-geometric topics
58A15 Exterior differential systems (Cartan theory)
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
70H25 Hamilton’s principle