Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 500, Pages 97–101
DOI: https://doi.org/10.31857/S2686954321050210 (Mi danma210) 		 
This article is cited in 3 scientific papers (total in 3 papers)

CONTROL PROCESSES

Sub-Riemannian Engel sphere

Yu. L. Sachkova, A. Yu. Popovab

a Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky, Yaroslavl oblast, Russia
b Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia
Full-text PDF (228 kB) Citations (3)
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DOI: https://doi.org/10.31857/S2686954321050210
Abstract: The structure of the intersection of the sub-Riemannian sphere on the Engel group with a two-dimensional invariant set of discrete symmetries is described: regularity, analytic properties, exp-log category, Whitney stratification, multiplicity of points, characterization in terms of abnormal trajectories, conjugate points and Maxwell points, and explicit expressions for the sub-Riemannian distance to singular points.
Keywords: Engel group, sub-Riemannian geometry, sub-Riemannian sphere.
Funding agency Grant number
Russian Science Foundation 17-11-01387-П
Sections 1–9 and 11 were written by Sachkov, while Section 10, by Popov. Sachkov’s research was supported by the Russian Science Foundation (project no. 17-11-01387-P) and was performed at the Ailamazyan Program Systems Institute of the Russian Academy of Sciences.
Presented: R. V. Gamkrelidze
Received: 19.07.2021
Revised: 26.07.2021
Accepted: 02.09.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 2, Pages 301–305
DOI: https://doi.org/10.1134/S1064562421050215
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: Yu. L. Sachkov, A. Yu. Popov, “Sub-Riemannian Engel sphere”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 97–101; Dokl. Math., 104:2 (2021), 301–305
Citation in format AMSBIB
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