Involutive constrained systems and Hamilton-Jacobi formalism
arXiv:1409.2524 · doi:10.1063/1.4900921
Abstract
In this paper, we study singular systems with complete sets of involutive constraints. The aim is to establish, within the Hamilton-Jacobi theory, the relationship between the Frobenius' theorem, the infinitesimal canonical transformations generated by constraints in involution with the Poisson brackets, and the lagrangian point (gauge) transformations of physical systems.