Abstract: | Different models of quantum string minisuperspaces for both isotropic and anisotropic geometries are presented. As for the isotropic case the general model of axion‐dilaton cosmology of arbitrary curvature is studied and solved explicitly. In the anisotropic case Bianchi type I and IX and Kantowski‐Sachs geometries are investigated. A short review of string cosmology is given with the emphasis on its “graceful‐exit” problem. The problems of boundary conditions, wave packets in minisuperspace and possible implications for the arrow of time in cosmology are briefly discussed. |