Homogeneous spaces generated by the group of automorphisms of a Lie group
Copyright policy )Homogeneous spaces generated by the group of automorphisms of a Lie group
This paper presents fundamental results for the theory of homogeneous spaces generated by a pair (G,\(\Gamma)\), where G is a Lie group, and \(\Gamma\) is a finite Abelian group of automorphisms of the Lie group G. These spaces constitute a generalization of the so-called (G,\(\Phi)\)- spaces which in turn generalize the symmetric spaces. For (G,\(\Phi)\)- spaces the reader is referred to \textit{V. I. Vedernikov} [Uch. Zap., Kazan Gos. Univ. 125, No.1, 7-59 (1965; Zbl 0188.543)] and to \textit{J. A. Wolf} and \textit{A. Gray} [J. Differ. Geom. 2, 115-159 (1968; Zbl 0182.247)].
Differential geometry of homogeneous manifolds, homogeneous spaces, Differential geometry of symmetric spaces, (G,\(\Phi \) )-spaces, Lie group
Differential geometry of homogeneous manifolds, homogeneous spaces, Differential geometry of symmetric spaces, (G,\(\Phi \) )-spaces, Lie group
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