2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55976The finite gauge transformation, in the submanifold of su(3) introduced in hep-th/9902027, is found to be linear in the gauge functions $ω^a$'s. In this manner, a parameterization of SU(3) in terms of a single real octet vector $ω^a$ is achieved. Under this finite transformation, those gauge fields satisfying $D^{ab}_μω^b = 0$, remain unchanged. A geometric meaning to the submanifold in terms of rotations in E8 is presented.10 pages, LATEX fileHigh Energy Physics - Theorytext