Geodesic
Almost Transitive Actions on Spaces with the Rational Homotopy of Sphere Products
Journal of Lie theory, Tome 15 (2005) no. 1, pp. 1-11.

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We determine the structure of transitive actions of compact Lie groups on spaces which have the dimension and the (rational) homotopy groups of a product S1 x Sm of spheres. These homogeneous spaces arise in several geometric contexts and may be considered as S1-bundles over certain spaces, e.g. over lens spaces and over certain quotients of Stiefel manifolds. 
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     title = {Almost {Transitive} {Actions} on {Spaces} with the {Rational} {Homotopy} of {Sphere} {Products}},
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 O. Bletz-Siebert . Almost Transitive Actions on Spaces with the Rational Homotopy of Sphere Products. Journal of Lie theory, Tome 15 (2005) no. 1, pp. 1-11. http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a0/