Lagrangian constraints and gauge symmetries (Q1116144)

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.