We study in this article a class of homogeneous, but anisotropic cosmologic
al models in which shear viscosity is included. Within the matter content w
e consider a component (the quintessence component) determined by the baryo
tropic equations of state, p = alpha rho, with alpha < 0. We establish cond
itions under which a closed axisymmetrical cosmological model may look flat
at low redshift.