Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{KyrBog18}
\by V.~A.~Kyrov, R.~A.~Bogdanova
\paper The groups of motions of some three-dimensional maximal mobility geometries
\jour Sibirsk. Mat. Zh.
\yr 2018
\vol 59
\issue 2
\pages 412--421
\mathnet{http://mi.mathnet.ru/smj2982}
\crossref{https://doi.org/10.17377/smzh.2018.59.215}
\elib{https://elibrary.ru/item.asp?id=32817972}
\transl
\jour Siberian Math. J.
\yr 2018
\vol 59
\issue 2
\pages 323--331
\crossref{https://doi.org/10.1134/S0037446618020155}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000430858600015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85046625049}
Linking options:
  • https://www.mathnet.ru/eng/smj2982
  • https://www.mathnet.ru/eng/smj/v59/i2/p412
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:224
    Full-text PDF :69
    References:27
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024