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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 507, Pages 66–70
DOI: https://doi.org/10.31857/S2686954322600434 (Mi danma321) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Sub-Riemannian Cartan sphere

Yu. L. Sachkov

Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky, Yaroslavl oblast, Russia
Citations (2)
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DOI: https://doi.org/10.31857/S2686954322600434
Abstract: The structure of the intersection of the sub-Riemannian sphere on the Cartan group with a $3$-dimensional invariant manifold of main symmetries is described.
Keywords: Cartan group, sub-Riemannian geometry, sub-Riemannian sphere.
Funding agency Grant number
Russian Science Foundation 22-11-00140
This work was supported by the Russian Science Foundation, project no. 22-11-00140, https://rscf.ru/en/project/22-11-00140/.
Presented: R. V. Gamkrelidze
Received: 14.06.2022
Revised: 31.08.2022
Accepted: 13.09.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 3, Pages 462–466
DOI: https://doi.org/10.1134/S1064562422700028
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: Yu. L. Sachkov, “Sub-Riemannian Cartan sphere”, Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022), 66–70; Dokl. Math., 106:3 (2022), 462–466
Citation in format AMSBIB
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\transl
\jour Dokl. Math.
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  • https://www.mathnet.ru/eng/danma321
  • https://www.mathnet.ru/eng/danma/v507/p66
    • This publication is cited in the following 2 articles:
    1. A. V. Greshnov, R. I. Zhukov, “Control Theory Problems and the Rashevskii–Chow Theorem on a Cartan Group”, Sib Math J, 65:5 (2024), 1096  crossref
    2. Yu. L. Sachkov, “Left-invariant optimal control problems on Lie groups that are integrable by elliptic functions”, Russian Math. Surveys, 78:1 (2023), 65–163  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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    Abstract page:127
    References:29
     
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