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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 2, Pages 412–421
DOI: https://doi.org/10.17377/smzh.2018.59.215 (Mi smj2982) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The groups of motions of some three-dimensional maximal mobility geometries

V. A. Kyrov, R. A. Bogdanova

Gorno-Altaisk State University, Gorno-Altaisk, Russia
Full-text PDF (298 kB) Citations (9)
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DOI: https://doi.org/10.17377/smzh.2018.59.215
Abstract: We find the groups of motions of eight three-dimensional maximal mobility geometries. These groups are actions of just three Lie groups $SL_2(R)\triangleright N$, $SL_2(C)_R$, and $SL_2(R)\otimes SL_2(R)$ on the space $R^3$, where $N$ is a normal abelian subgroup. We also find explicit expressions for these actions.
Keywords: maximal mobility geometry, group of motions, Lie group, Lie algebra.
Received: 11.07.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 2, Pages 323–331
DOI: https://doi.org/10.1134/S0037446618020155
Bibliographic databases:
Document Type: Article
UDC: 512.816
MSC: 35R30
Language: Russian
Citation: V. A. Kyrov, R. A. Bogdanova, “The groups of motions of some three-dimensional maximal mobility geometries”, Sibirsk. Mat. Zh., 59:2 (2018), 412–421; Siberian Math. J., 59:2 (2018), 323–331
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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