Scalar fields in an anisotropic closed universe

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.