Geodesic
Some Properties of Homogeneous $\mathcal E$-Manifolds
Matematičeskie zametki, Tome 109 (2021) no. 5, pp. 691-704

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Properties of homogeneous spaces having an invariant $\mathcal E$-structure (a generalization of the structure of a homogeneous dual manifold) are studied. Simply connected homogeneous spaces of dimension $5$ with such a structure are described up to a diffeomorphism.
Keywords: homogeneous space, $\mathcal E$-structure, dual numbers, natural geometry. 
@article{MZM_2021_109_5_a3,
     author = {V. V. Gorbatsevich},
     title = {Some {Properties} of {Homogeneous} $\mathcal E${-Manifolds}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {691--704},
     publisher = {mathdoc},
     volume = {109},
     number = {5},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a3/}
}
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V. V. Gorbatsevich. Some Properties of Homogeneous $\mathcal E$-Manifolds. Matematičeskie zametki, Tome 109 (2021) no. 5, pp. 691-704. http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a3/