Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 321, Pages 62–76
DOI: https://doi.org/10.4213/tm4328 (Mi tm4328) 		 
Front Asymptotics of a Flat Sub-Riemannian Structure on the Engel Distribution

I. A. Bogaevskyab

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991 Russia
b Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Nakhimovskii prosp. 36-1, Moscow, 117218 Russia
Full-text PDF (1495 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4328
Abstract: We approximate the front of a flat sub-Riemannian structure on the Engel distribution in a neighborhood of a non-subanalytic singularity by the front of a control system integrable in elementary functions. As a corollary, we find the asymptotics of the exponential map of a flat sub-Riemannian structure on the Engel distribution.
Keywords: sphere and front of a sub-Riemannian structure, Engel distribution, exponential map.
Received: March 20, 2022
Revised: December 14, 2022
Accepted: February 17, 2023
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 321, Pages 54–68
DOI: https://doi.org/10.1134/S0081543823020049
Bibliographic databases:
Document Type: Article
UDC: 514.774
Language: Russian
Citation: I. A. Bogaevsky, “Front Asymptotics of a Flat Sub-Riemannian Structure on the Engel Distribution”, Optimal Control and Dynamical Systems, Collected papers. On the occasion of the 95th birthday of Academician Revaz Valerianovich Gamkrelidze, Trudy Mat. Inst. Steklova, 321, Steklov Math. Inst., Moscow, 2023, 62–76; Proc. Steklov Inst. Math., 321 (2023), 54–68
Citation in format AMSBIB
\Bibitem{Bog23}
\by I.~A.~Bogaevsky
\paper Front Asymptotics of a Flat Sub-Riemannian Structure on the Engel Distribution
\inbook Optimal Control and Dynamical Systems
\bookinfo Collected papers. On the occasion of the 95th birthday of Academician Revaz Valerianovich Gamkrelidze
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 321
\pages 62--76
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4328}
\crossref{https://doi.org/10.4213/tm4328}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4643632}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 321
\pages 54--68
\crossref{https://doi.org/10.1134/S0081543823020049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85170856260}
Linking options:
  • https://www.mathnet.ru/eng/tm4328
  • https://doi.org/10.4213/tm4328
  • https://www.mathnet.ru/eng/tm/v321/p62
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:192
    Full-text PDF :15
    References:13
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024