The Groups of Motions of Some Three-Dimensional Maximal Mobility Geometries
- Autores: Kyrov V.A.1, Bogdanova R.A.1
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Afiliações:
- Gorno-Altaisk State University
- Edição: Volume 59, Nº 2 (2018)
- Páginas: 323-331
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171794
- DOI: https://doi.org/10.1134/S0037446618020155
- ID: 171794
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Resumo
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.
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Sobre autores
V. Kyrov
Gorno-Altaisk State University
Autor responsável pela correspondência
Email: kyrovVA@yandex.ru
Rússia, Gorno-Altaisk
R. Bogdanova
Gorno-Altaisk State University
Email: kyrovVA@yandex.ru
Rússia, Gorno-Altaisk
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