Geodesic
On the fibre structure of compact homogeneous spaces
Izvestiya. Mathematics , Tome 87 (2023) no. 6, pp. 1161-1184

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The paper considers properties of several bundles (natural, structural and Borel ones) related to compact homogeneous spaces. Some results on elements of these bundles are proved, illustrative examples are given, counterexamples to some naturally arising assumptions are put forward.
Keywords: homogeneous space, natural fibration, structural fibration, structural group, fibre and base of fibration. 
@article{IM2_2023_87_6_a2,
     author = {V. V. Gorbatsevich},
     title = {On the fibre structure of compact homogeneous spaces},
     journal = {Izvestiya. Mathematics },
     pages = {1161--1184},
     publisher = {mathdoc},
     volume = {87},
     number = {6},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2023_87_6_a2/}
}
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V. V. Gorbatsevich. On the fibre structure of compact homogeneous spaces. Izvestiya. Mathematics , Tome 87 (2023) no. 6, pp. 1161-1184. http://geodesic.mathdoc.fr/item/IM2_2023_87_6_a2/