Homogeneous Structures on Riemannian Manifolds

The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply connected Riemannian manifold a necessary and sufficient condition for it to be homogeneous. This is a local condition which has to be satisfied at all points, and in this way it is a generalization of E. Cartan''s method for symmetric spaces. The main aim of the authors is to use ...