Geodesic
On low dimensional bases of natural bundles for compact homogeneous spaces
Izvestiya. Mathematics , Tome 88 (2024) no. 6, pp. 1119-1137

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We describe the bases of dimension $\le 5$ of natural bundles of compact homogeneous spaces. The description is given up to commensurability (generated by passing to some finite covering). Problems of decomposability and countability of some commensurability classes of such bases are discussed.
Keywords: homogeneous space, bundle, base of bundle, lattice in a Lie group. 
@article{IM2_2024_88_6_a4,
     author = {V. V. Gorbatsevich},
     title = {On low dimensional bases of natural bundles for compact homogeneous spaces},
     journal = {Izvestiya. Mathematics },
     pages = {1119--1137},
     publisher = {mathdoc},
     volume = {88},
     number = {6},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2024_88_6_a4/}
}
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V. V. Gorbatsevich. On low dimensional bases of natural bundles for compact homogeneous spaces. Izvestiya. Mathematics , Tome 88 (2024) no. 6, pp. 1119-1137. http://geodesic.mathdoc.fr/item/IM2_2024_88_6_a4/