2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111695A Yang-Mills theory in a purely symplectic framework is developed. The corresponding Euler-Lagrange equations are derived and first integrals are given. We relate the results to the work of Bourgeois and Cahen on preferred symplectic connections.16 pages, corrected typos, changed referenceSymplectic GeometryDifferential Geometry53D05, 53C05, 58E30, 58E15Symplectic Yang-Mills theory, Ricci tensor, and connectionstext