2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34331A non-linear gravitational model with a multidimensional geometry and quadratic scalar curvature is considered. For certain parameter ranges, the extra dimensions are stabilized if the internal spaces have negative curvature. As a consequence, the 4-dimensional effective cosmological constant as well as the bulk cosmological constant become negative. The homogeneous and isotropic external space is asymptotically AdS. The connection between the D-dimensional and the 4-dimensional fundamental mass scales sets an additional restriction on the parameters of the considered non-linear models.6 pages, kluwer.sty; Conf. Proc., 11th EAS Meeting: "JENAM 2002: The Unsolved Universe", Porto, PortugalGeneral Relativity and Quantum Cosmologytext