  We study in this article a class of homogeneous, but anisotropic cosmological
models in which shear viscosity is included. Within the matter content we
consider a component (the quintessence component) determined by the barotropic
equations of state, $p=\alpha \rho$, with $\alpha < 0$. We establish conditions
under which a closed axisymmetrical cosmological model may look flat al low
redshift.
