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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 4, Pages 762–774
DOI: https://doi.org/10.17377/smzh.2015.56.404 (Mi smj2676) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group $SO(3)$

V. N. Berestovskiĭa, I. A. Zubarevab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk, Russia
Full-text PDF (332 kB) Citations (15)
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DOI: https://doi.org/10.17377/smzh.2015.56.404
Abstract: The authors find geodesics, shortest arcs, a diameter, a cut locus, and conjugate sets for a left-invariant sub-Riemannian metric on the Lie group $SO(3)$ under the condition that the metric is right-invariant relative to the Lie subgroup $SO(2)\subset SO(3)$.
Keywords: geodesic, left-invariant sub-Riemannian metric, Lie algebra, Lie group, shortest arc.
Received: 11.06.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 4, Pages 601–611
DOI: https://doi.org/10.1134/S0037446615040047
Bibliographic databases:
Document Type: Article
UDC: 519.46+514.763+512.81+517.911
Language: Russian
Citation: V. N. Berestovskiǐ, I. A. Zubareva, “Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group $SO(3)$”, Sibirsk. Mat. Zh., 56:4 (2015), 762–774; Siberian Math. J., 56:4 (2015), 601–611
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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