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, 2017, Volume 58, Number 1, Pages 22–35
DOI: https://doi.org/10.17377/smzh.2017.58.103 (Mi smj2836) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Sub-Riemannian distance on the Lie group $\operatorname{SL}(2)$

V. N. Berestovskiĭa, I. A. Zubarevab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Omsk Branch, Omsk, Russia
Full-text PDF (317 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2017.58.103
Abstract: We find the distances between arbitrary elements of the Lie group $\operatorname{SL}(2)$ for the left invariant sub-Riemannian metric also invariant with respect to the right shifts by elements of the Lie subgroup $\operatorname{SO}(2)\subset\operatorname{SL}(2)$, in other words, the invariant sub-Riemannian metric on the weakly symmetric space $(\operatorname{SL}(2)\times\operatorname{SO}(2))/\operatorname{SO}(2)$ of Selberg.
Keywords: distance, geodesic, geodesic orbit space, Lie algebra, Lie group, invariant sub-Riemannian metric, shortest arc.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.B25.31.0029
Russian Foundation for Basic Research 14-01-00068-a
The authors were supported in part by the Russian Foundation for Basic Research (Grant 14-01-00068-a) and the Government of the Russian Federation for the State Support of Scientific Research (Agreement 14.B25.31.0029).
Received: 25.06.2015
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 1, Pages 16–27
DOI: https://doi.org/10.1134/S0037446617010037
Bibliographic databases:
Document Type: Article
UDC: 519.46+514.763+512.81+519.9+517.911
Language: Russian
Citation: V. N. Berestovskiǐ, I. A. Zubareva, “Sub-Riemannian distance on the Lie group $\operatorname{SL}(2)$”, Sibirsk. Mat. Zh., 58:1 (2017), 22–35; Siberian Math. J., 58:1 (2017), 16–27
Citation in format AMSBIB
\Bibitem{BerZub17}
\by V.~N.~Berestovski{\v\i}, I.~A.~Zubareva
\paper Sub-Riemannian distance on the Lie group~$\operatorname{SL}(2)$
\jour Sibirsk. Mat. Zh.
\yr 2017
\vol 58
\issue 1
\pages 22--35
\mathnet{http://mi.mathnet.ru/smj2836}
\crossref{https://doi.org/10.17377/smzh.2017.58.103}
\elib{https://elibrary.ru/item.asp?id=29159899}
\transl
\jour Siberian Math. J.
\yr 2017
\vol 58
\issue 1
\pages 16--27
\crossref{https://doi.org/10.1134/S0037446617010037}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000396065100003}
\elib{https://elibrary.ru/item.asp?id=29485431}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014663940}
Linking options:
  • https://www.mathnet.ru/eng/smj2836
  • https://www.mathnet.ru/eng/smj/v58/i1/p22
    • This publication is cited in the following 8 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:217
    Full-text PDF :54
    References:31
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024