Multidimensional Einstein-Yang-Mills cosmological models
  We study the process of the evolution of the space of extra dimensions in the framework of Einstein-Yang-Mills cosmological models. It is shown that, for certain classes of models, the static compact space of extra dimensions is the attractor for a wide range of initial conditions. Also the effect of isotropization of extra dimensions in the course of evolution is demonstrated. 
Yu. Kubyshin, E. Moreno and J. I. P\'erez Cadenas