Homogeneous spaces generated by the group of automorphisms of a Lie group

The concept of a homogeneous space generated by the group of automorphisms of a given Lie group generalizes the well-known concept of a-space. We study the properties of such spaces by analogy with-spaces.Translated from Itogi Nauki i Tekhniki, Seriya Problemy Geometrii, Vol. 15, pp. 165–185, 1983.