2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70849We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure. Finally we determine the precise upper bound of the dimension of this Lie group for some specific systems of partial differential equations.Complex VariablesDifferential GeometryPrimary: 32V40, 34C14. Secondary 32V25, 32H02, 32H40, 32V10text