Geodesic
Compact homogeneous manifolds of dimension at~most~7 up to a~finite covering
Izvestiya. Mathematics , Tome 76 (2012) no. 4, pp. 669-680

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We give a classification of all compact homogeneous manifolds of dimension at most 7 up to a finite covering. Earlier classifications of this kind up to dimension 6 are obtained by a unified method. The main focus of the paper is on the case of dimension 7.
Keywords: homogeneous manifold, finite covering, natural fibration. 
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     author = {V. V. Gorbatsevich},
     title = {Compact homogeneous manifolds of dimension at~most~7 up to a~finite covering},
     journal = {Izvestiya. Mathematics },
     pages = {669--680},
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     number = {4},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2012_76_4_a1/}
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V. V. Gorbatsevich. Compact homogeneous manifolds of dimension at~most~7 up to a~finite covering. Izvestiya. Mathematics , Tome 76 (2012) no. 4, pp. 669-680. http://geodesic.mathdoc.fr/item/IM2_2012_76_4_a1/