Singular lagrangians: some geometric structures along the Legendre map
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
Differential Geometry
math.MP
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.
Cite
@article{arxiv.math-ph/0009038,
title = {Singular lagrangians: some geometric structures along the Legendre map},
author = {Xavier Gracia and Josep M. Pons},
journal= {arXiv preprint arXiv:math-ph/0009038},
year = {2008}
}
Comments
27 pages; minor changes, a reference updated