Singular lagrangians: some geometric structures along the Legendre map

Details Singular lagrangians: some geometric structures along the Legendre map Singular lagrangians: some geometric structures along the Legendre map

2000-09-29

arxiv.org/abs/math-ph/0009038v2

J.Phys.A34:3047-3070,2001

Physics

Mathematical Physics

27 pages; minor changes, a reference updated

Scientific paper

10.1088/0305-4470/34/14/311

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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