Geodesic
On the topology of~non-compact simply~connected homogeneous manifolds
Izvestiya. Mathematics , Tome 84 (2020) no. 5, pp. 845-861

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We study the covariant bundles (Mostow bundles) for simply connected homogeneous manifolds, establish their relation to homogeneous bundles and consider classes of homogeneous manifolds for which the Mostow bundle is trivial (resp. non-trivial). We also give a classification of non-compact simply connected homogeneous manifolds of dimension not exceeding seven.
Keywords: homogeneous manifold, covariant bundle, homogeneous bundle, Mostow bundle, topological triviality of a bundle. 
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     author = {V. V. Gorbatsevich},
     title = {On the topology of~non-compact simply~connected homogeneous manifolds},
     journal = {Izvestiya. Mathematics },
     pages = {845--861},
     publisher = {mathdoc},
     volume = {84},
     number = {5},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2020_84_5_a1/}
}
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V. V. Gorbatsevich. On the topology of~non-compact simply~connected homogeneous manifolds. Izvestiya. Mathematics , Tome 84 (2020) no. 5, pp. 845-861. http://geodesic.mathdoc.fr/item/IM2_2020_84_5_a1/