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arXiv · math-ph/0009038

Singular lagrangians: some geometric structures along the Legendre map

Xavier Gracia·Josep M. Pons
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Abstract

New geometric structures that relate the lagrangian and hamiltonian formalisms defined upon a singular lagrangian are presented. Several vector fields are constructed in velocity space that give new and precise answers to several topics like the projectability of a vector field to a hamiltonian vector field, the computation of the kernel of the presymplectic form of lagrangian formalism, the construction of the lagrangian dynamical vector fields, and the characterisation of dynamical symmetries.

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Xavier Gracia, Josep M. Pons. 2002-01-18. Singular lagrangians: some geometric structures along the Legendre map. https://doi.org/10.1088/0305-4470%2F34%2F14%2F311

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