Geodesic
On factor-spaces of compact Lie groups by subgrops of co-rank one
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 60-74

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Let $G$ be a compact connected Lie group, $L$ be a centralizer of torus in $G$, $H$ be the commutant of the group $L$, $\mathrm{cork}H=1$, $G/H$ be simply connected. We obtain the classification of transitive actions of compact Lie groups on the manifolds $G/H$.
Mots-clés : compact Lie group
Keywords: cohomology, transitive action. 
@article{IVM_2015_6_a7,
     author = {A. N. Shchetinin},
     title = {On factor-spaces of compact {Lie} groups by subgrops of co-rank one},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {60--74},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_6_a7/}
}
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A. N. Shchetinin. On factor-spaces of compact Lie groups by subgrops of co-rank one. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 60-74. http://geodesic.mathdoc.fr/item/IVM_2015_6_a7/