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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
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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}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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