BIANCHI TYPE-III FOLIATION OF THE DESITTER SPACE

We show that the de Sitter space can be foliated into spacelike hypersurfaccs with locally rotationally symmetric Bianchi type III properties. This proves as well that a particular Bianchi type III solution is isotropic. In addition, we apply a criterion of isotropy, based on the vanishing of the Weyl tensor, which is particularly suited for cosmological models where there is not a preferred timelike vector field.