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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 7, Pages 86–90 (Mi ivm9380)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Geodesics on a group of semi-affine transformations of Euclidean plane

M. V. Tryamkinab

a Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, 4 Ak. Koptyuga Ave., Novosibirsk, 630090 Russia
b Novosibirsk State University, 1 Pirogova str., Novosibirsk, 630090 Russia
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Abstract: We obtain parameterized representations of geodesics of sub-Riemannian metric on three-dimensional Lie group of semi-affine transformations of the Euclidean plane, i. e., those that act as orientation preserving affine mappings on one axis, and as translations on the other one.
Keywords: Lie groups, sub-Riemannian structure, geodesics.
Received: 28.12.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 7, Pages 74–77
DOI: https://doi.org/10.3103/S1066369X18070095
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: M. V. Tryamkin, “Geodesics on a group of semi-affine transformations of Euclidean plane”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 7, 86–90; Russian Math. (Iz. VUZ), 62:7 (2018), 74–77
Citation in format AMSBIB
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\pages 86--90
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\vol 62
\issue 7
\pages 74--77
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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