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Symplectic representations of semisprays. (English) Zbl 0781.70014

Summary: A canonical correspondence between semisprays and 1-forms, known in Lagrangian dynamics, is obtained through some “natural” symplectic structures on the tangent bundle.

MSC:

70H03 Lagrange’s equations
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems