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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 773–785
DOI: https://doi.org/10.17377/semi.2018.15.063
(Mi semr951)
 

This article is cited in 3 scientific papers (total in 3 papers)

Geometry and topology

Connections of nonzero curvature on homogeneous spaces of unsolvable transformations groups

N. P. Mozhey

Belarusian State University of Informatics and Radioelectronics, P. Brovki Street, 6, 220013, Minsk, Belarus
Full-text PDF (177 kB) Citations (3)
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Abstract: 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, transformation group, homogeneous space, curvature tensor.
Received May 29, 2017, published July 18, 2018
Bibliographic databases:
Document Type: Article
UDC: 514.76
MSC: 53B05
Language: Russian
Citation: N. P. Mozhey, “Connections of nonzero curvature on homogeneous spaces of unsolvable transformations groups”, Sib. Èlektron. Mat. Izv., 15 (2018), 773–785
Citation in format AMSBIB
\Bibitem{Moz18}
\by N.~P.~Mozhey
\paper Connections of nonzero curvature on homogeneous spaces of unsolvable transformations groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 773--785
\mathnet{http://mi.mathnet.ru/semr951}
\crossref{https://doi.org/10.17377/semi.2018.15.063}
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