Dynamics of higher dimensional universe models

Dynamics of higher dimensional space defined by a product of constant curvature subspaces is studied using the classical Einstein equation. We deal with mainly vacuum case with cosmological constant and check the behaviour of timelike subspace as well as spacelike one. The Kasner-de Sitter solution which isotropizes the expansion is obtained. The bouncing of the contracting subspace may occur for spacelike-negative curvature or timelike-positive curvature cases. (author)