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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 214–228
DOI: https://doi.org/10.33048/smzh.2019.60.118 (Mi smj3071) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane

M. V. Tryamkinab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (330 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2019.60.118
Abstract: We obtain the parametrized representations of the geodesics of a left-invariant sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane. These transformations act as orientation-preserving affine mappings along one axis and as translations along the other.
Keywords: geodesic, sub-Riemannian structure, Lie group.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00801_а
The author was supported by the Russian Foundation for Basic Research (Grant 17-01-00801a).
Received: 03.05.2018
Revised: 10.08.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 164–177
DOI: https://doi.org/10.1134/S003744661901018X
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: M. V. Tryamkin, “The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane”, Sibirsk. Mat. Zh., 60:1 (2019), 214–228; Siberian Math. J., 60:1 (2019), 164–177
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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