2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35427We study ten-dimensional Einstein-Yang-Mills model with the space of extra dimensions being a non-symmetric homogeneous space with the invariant metric parametrized by two scales. Dimensional reduction of the model is carried out and the scalar potential of the reduced theory is calculated. In a cosmological setting minima of the potential in the radiation-dominated period that followed the inflation are found and their stability is analyzed. The compactifying solution is shown to be stable for the appropriate values of parameters.23 pages, LATEX, UB-ECM-PF 93/11General Relativity and Quantum Cosmologytext