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Singular lagrangians: some geometric structures along the Legendre map | | Xavier Gracia
; Josep M. Pons
; | | Date: |
29 Sep 2000 | | Journal: | J.Phys. A34 (2001) 3047-3070 | | Subject: | Mathematical Physics; Differential Geometry MSC-class: 70H45, 70G45 | math-ph hep-th math.DG math.MP | | Affiliation: | Technical University of Catalonia) and Josep M. Pons (University of Barcelona | | 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. | | Source: | arXiv, math-ph/0009038 | | Services: | Forum | Review | PDF | Favorites | |
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