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The Geodesics of a Sub-Riemannian Metric on the Group of Semiaffine Transformations of the Euclidean Plane. / Tryamkin, M. V.

In: Siberian Mathematical Journal, Vol. 60, No. 1, 01.01.2019, p. 164-177.

Research output: Contribution to journal › Article › peer-review

Harvard

Tryamkin, MV 2019, 'The Geodesics of a Sub-Riemannian Metric on the Group of Semiaffine Transformations of the Euclidean Plane', Siberian Mathematical Journal, vol. 60, no. 1, pp. 164-177. https://doi.org/10.1134/S003744661901018X

APA

Tryamkin, M. V. (2019). The Geodesics of a Sub-Riemannian Metric on the Group of Semiaffine Transformations of the Euclidean Plane. Siberian Mathematical Journal, 60(1), 164-177. https://doi.org/10.1134/S003744661901018X

Vancouver

Tryamkin MV. The Geodesics of a Sub-Riemannian Metric on the Group of Semiaffine Transformations of the Euclidean Plane. Siberian Mathematical Journal. 2019 Jan 1;60(1):164-177. doi: 10.1134/S003744661901018X

Author

Tryamkin, M. V. / The Geodesics of a Sub-Riemannian Metric on the Group of Semiaffine Transformations of the Euclidean Plane. In: Siberian Mathematical Journal. 2019 ; Vol. 60, No. 1. pp. 164-177.

BibTeX

@article{ff93c88fca0e4ea3a724d6c7e5f5732b,
title = "The Geodesics of a Sub-Riemannian Metric on the Group of Semiaffine Transformations of the Euclidean Plane",
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, Lie group, sub-Riemannian structure",
author = "Tryamkin, {M. V.}",
year = "2019",
month = jan,
day = "1",
doi = "10.1134/S003744661901018X",
language = "English",
volume = "60",
pages = "164--177",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "1",

}

RIS

TY - JOUR

T1 - The Geodesics of a Sub-Riemannian Metric on the Group of Semiaffine Transformations of the Euclidean Plane

AU - Tryamkin, M. V.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - geodesic

KW - Lie group

KW - sub-Riemannian structure

UR - http://www.scopus.com/inward/record.url?scp=85065235414&partnerID=8YFLogxK

U2 - 10.1134/S003744661901018X

DO - 10.1134/S003744661901018X

M3 - Article

AN - SCOPUS:85065235414

VL - 60

SP - 164

EP - 177

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 1

ER -

ID: 20043626