On second Noether's theorem and gauge symmetries in Mechanics

Details On second Noether's theorem and gauge symmetries in Mechanics On second Noether's theorem and gauge symmetries in Mechanics

2005-11-07

arxiv.org/abs/math/0511180v1

Mathematics

Differential Geometry

Scientific paper

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.

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