The Symmetry of 2-Flat Homogeneous Spaces
Ημερομηνία
1997Source
Geometriae DedicataVolume
65Issue
2Pages
161-165Google Scholar check
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Εμφάνιση πλήρους εγγραφήςΕπιτομή
A Riemannian manifold M is called 2-flat homogeneous if every geodesic is contained in some 2-flat Σ, and if the group of isometries of M acts transitively on the set of pairs (p, Σ) with p ∈ Σ. By a 2-flat we mean a closed, connected, flat, totally geodesic, 2-dimensional submanifold of M. It is proved in the paper that 2-flat homogeneous spaces are symmetric.