On a certain class of Riemannian homogeneous spaces
Takeshi Sumitomo (1972)
Colloquium Mathematicae
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Displaying similar documents to “On -homogeneous Riemannian manifolds. II.”
On a certain class of Riemannian homogeneous spaces
Ball-Homogeneous and Disk-Homogeneous Riemannian Manifolds.
Oldrich Kowalski, Lieven Vanhecke (1982)
Mathematische Zeitschrift
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Four-dimensional curvature homogeneous spaces
Kouei Sekigawa, Hiroshi Suga, Lieven Vanhecke (1992)
Commentationes Mathematicae Universitatis Carolinae
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We prove that a four-dimensional, connected, simply connected and complete Riemannian manifold which is curvature homogeneous up to order two is a homogeneous Riemannian space.
Naturally reductive homogeneous spaces and generalized Heisenberg groups
F. Tricerri, L. Vanhecke (1984)
Compositio Mathematica
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Homogeneous geodesics in a three-dimensional Lie group
Rosa Anna Marinosci (2002)
Commentationes Mathematicae Universitatis Carolinae
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O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at least one homogeneous geodesic, i.eȯne geodesic which is an orbit of a one-parameter group of isometries. In [KNV] the related two problems were studied and a negative answer was given to both ones: (1) Let be a homogeneous Riemannian manifold where is the largest connected group of isometries and . Does always admit more than one homogeneous geodesic? (2) Suppose that admits linearly...