
doi: 10.1007/bf00398957
handle: 11392/1483715
Within the study of degenerate Lagrangian systems, a new intrinsic expression is proposed for the conditions under which the solutions of the dynamical equation \(i_{\Gamma}\omega =dE\) do exist and are second- order vector fields. Such conditions are expressed in terms of generalized symmetries for the Lagrangian and constitute further progress in understanding the connection between constraints and gauge invariance within the Lagrange framework.
gauge symmetries, Applications of global analysis to the sciences, degenerate Lagrangian systems, Applications of quantum theory to specific physical systems, Variational problems in infinite-dimensional spaces, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Lagrangian constraints
gauge symmetries, Applications of global analysis to the sciences, degenerate Lagrangian systems, Applications of quantum theory to specific physical systems, Variational problems in infinite-dimensional spaces, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Lagrangian constraints
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