Loading [MathJax]/jax/output/SVG/config.js
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, 2019, Volume 60, Number 1, Pages 214–228
DOI: https://doi.org/10.33048/smzh.2019.60.118
(Mi smj3071)
 

This article is cited in 3 scientific papers (total in 3 papers)

The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane

M. V. Tryamkinab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (330 kB) Citations (3)
References:
Abstract: We obtain the parametrized representations of the geodesics of a left-invariant sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane. These transformations act as orientation-preserving affine mappings along one axis and as translations along the other.
Keywords: geodesic, sub-Riemannian structure, Lie group.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00801_а
The author was supported by the Russian Foundation for Basic Research (Grant 17-01-00801a).
Received: 03.05.2018
Revised: 10.08.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 164–177
DOI: https://doi.org/10.1134/S003744661901018X
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: M. V. Tryamkin, “The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane”, Sibirsk. Mat. Zh., 60:1 (2019), 214–228; Siberian Math. J., 60:1 (2019), 164–177
Citation in format AMSBIB
\Bibitem{Try19}
\by M.~V.~Tryamkin
\paper The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane
\jour Sibirsk. Mat. Zh.
\yr 2019
\vol 60
\issue 1
\pages 214--228
\mathnet{http://mi.mathnet.ru/smj3071}
\crossref{https://doi.org/10.33048/smzh.2019.60.118}
\elib{https://elibrary.ru/item.asp?id=38682483}
\transl
\jour Siberian Math. J.
\yr 2019
\vol 60
\issue 1
\pages 164--177
\crossref{https://doi.org/10.1134/S003744661901018X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000464720000018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85065235414}
Linking options:
  • https://www.mathnet.ru/eng/smj3071
  • https://www.mathnet.ru/eng/smj/v60/i1/p214
  • This publication is cited in the following 3 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:298
    Full-text PDF :41
    References:38
    First page:10
     
      Contact us:
    math-net2025_01@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025