Geodesic
Dual and almost-dual homogeneous spaces
Izvestiya. Mathematics , Tome 83 (2019) no. 1, pp. 20-48

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We study homogeneous spaces $G/H$ such that the transitive action of the Lie group $G$ on $G/H$ preserves the structure of a dual or almost-dual manifold. We consider general homogeneous spaces of this kind as well as compact or lower-dimensional ones.
Keywords: dual manifold, almost-dual structure, homogeneous space. 
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     author = {V. V. Gorbatsevich},
     title = {Dual and almost-dual homogeneous spaces},
     journal = {Izvestiya. Mathematics },
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     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2019_83_1_a1/}
}
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V. V. Gorbatsevich. Dual and almost-dual homogeneous spaces. Izvestiya. Mathematics , Tome 83 (2019) no. 1, pp. 20-48. http://geodesic.mathdoc.fr/item/IM2_2019_83_1_a1/