Email this article The Groups of Motions of Some Three-Dimensional Maximal Mobility Geometries
- Authors: Kyrov V.A.1, Bogdanova R.A.1
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Affiliations:
- Gorno-Altaisk State University
- Issue: Vol 59, No 2 (2018)
- Pages: 323-331
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171794
- DOI: https://doi.org/10.1134/S0037446618020155
- ID: 171794
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Abstract
We find the groups of motions of eight three-dimensional maximal mobility geometries. These groups are actions of just three Lie groups SL2(R)ΔN, SL2(C)R, and SL2(R)⊗SL2(R) on the space R3, where N is a normal abelian subgroup. We also find explicit expressions for these actions.
About the authors
V. A. Kyrov
Gorno-Altaisk State University
Author for correspondence.
Email: kyrovVA@yandex.ru
Russian Federation, Gorno-Altaisk
R. A. Bogdanova
Gorno-Altaisk State University
Email: kyrovVA@yandex.ru
Russian Federation, Gorno-Altaisk
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