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The intrinsic properties of rank and nullity of the Lagrange bracket in the one dimensional calculus of variations. (English) Zbl 0318.49038


MSC:

49S05 Variational principles of physics
70Hxx Hamiltonian and Lagrangian mechanics
70H25 Hamilton’s principle
58A10 Differential forms in global analysis
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
49Q99 Manifolds and measure-geometric topics
58A15 Exterior differential systems (Cartan theory)
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