On second Noether's theorem and gauge symmetries in Mechanics
Carinena, Jose F ; Lazaro-Cami, Joan-Andreu ; Martinez, Eduardo
arXiv, 0511180 / Harvested from arXiv
Text on arXiv
We review the geometric formulation of the second Noether's theorem in time-dependent mechanics. The commutation relations between the dynamics on the final constraint manifold and the infinitesimal generator of a symmetry are studied. We show an algorithm for determining a gauge symmetry which is closely related to the process of stabilization of constraints, both in Lagrangian and Hamiltonian formalisms. The connections between both formalisms are established by means of the time-evolution operator.
Publié le : 2005-11-07
Classification:  Mathematics - Differential Geometry,  Mathematical Physics 
@article{0511180,
     author = {Carinena, Jose F and Lazaro-Cami, Joan-Andreu and Martinez, Eduardo},
     title = {On second Noether's theorem and gauge symmetries in Mechanics},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511180}
}

Carinena, Jose F; Lazaro-Cami, Joan-Andreu; Martinez, Eduardo. On second Noether's theorem and gauge symmetries in Mechanics. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511180/