Geodesic
On the topology of the natural bundle for compact homogeneous spaces
Izvestiya. Mathematics , Tome 71 (2007) no. 3, pp. 449-475

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We study the topological properties of compact homogeneous manifolds using the natural bundle as a main construction. We show how to calculate the cohomology of a compact homogeneous manifold considered up to a finite covering. The topology of various special classes of compact homogeneous manifolds is also studied.
Keywords: homogeneous space, natural fibration
Mots-clés : Cartan algebra. 
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     author = {V. V. Gorbatsevich},
     title = {On the topology of the natural bundle for compact homogeneous spaces},
     journal = {Izvestiya. Mathematics },
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2007_71_3_a2/}
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V. V. Gorbatsevich. On the topology of the natural bundle for compact homogeneous spaces. Izvestiya. Mathematics , Tome 71 (2007) no. 3, pp. 449-475. http://geodesic.mathdoc.fr/item/IM2_2007_71_3_a2/