2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33491Criteria for the existence of de Sitter inflation with dilaton fields in four-dimensional space-times with torsion is discussed.The relation between matter density perturbation and the spin-density perturbation is stablished based on this criteria.From COBE data it is shown that there is a linear relationship between the spin-torsion density and temperature of the Universe for the case where matter density dominates the kinetic part of dilaton fields.Latex fileGeneral Relativity and Quantum Cosmologytext