Geodesic
Connections of nonzero curvature on homogeneous spaces of unsolvable transformations groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 773-785

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The purpose of the work is the local classification of three-dimensional homogeneous spaces, admits invariant affine connections nonzero curvature only, description of the connections on those spaces together with their curvature and torsion tensors, holonomy algebras. We have concerned the case of the unsolvable Lie group of transformations. The local classification of homogeneous spaces is equivalent to the description of the effective pairs of Lie algebras. Studies are based on the use of properties of the Lie algebras, Lie groups and homogeneous spaces and they mainly have local character.
Keywords: affine connection, homogeneous space, curvature tensor.
Mots-clés : transformation group 
@article{SEMR_2018_15_a46,
     author = {N. P. Mozhey},
     title = {Connections of nonzero curvature on homogeneous spaces of unsolvable transformations groups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {773--785},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a46/}
}
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N. P. Mozhey. Connections of nonzero curvature on homogeneous spaces of unsolvable transformations groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 773-785. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a46/