On the Space of 3-dimensional Homogeneous Riemannian Manifolds

Abstract

We answer the following question: Let l, m, n be arbitrary real numbers. Does there exist a 3-dimensional homogeneous Riemannian manifold whose eigenvalues of the Ricci tensor are just l, m and n ?

2 pages, LaTeX, reprinted from Proc. Conf. Brno (1995)