Multidimensional cosmological solutions of Friedmann type

The generalization of cosmological models of Friedmann type (the $t=\operatorname {const}$ section is a manifold of constant curvature) to the case of an arbitrary number $n$ of spatial dimensions with allowance for the $\Lambda$ term is considered. Solutions are obtained in the integrable cases, in particular, for the distinguished value $n=2$. For $n\geq 4$ it is shown that the qualitative picture of the evolution is close to the ordinary scenario with $n=3$.