2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34733Quadratic Lagrangians are introduced adding surface terms to a free particle Lagrangian. Geodesic equations are used in the context of the Hamilton-Jacobi formulation of constrained sysytem. Manifold structure induced by the quadratic Lagrangian is investigated.LATEX, 14PagesGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheorySurface terms,angular momentum and Hamilton-Jacobi formalismtext