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Geodesics on the Group of Semi-Affine Transformations of the Euclidean Plane. / Tryamkin, M. V.

In: Russian Mathematics, Vol. 62, No. 7, 01.07.2018, p. 74-77.

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

Harvard

Tryamkin, MV 2018, 'Geodesics on the Group of Semi-Affine Transformations of the Euclidean Plane', Russian Mathematics, vol. 62, no. 7, pp. 74-77. https://doi.org/10.3103/S1066369X18070095

APA

Tryamkin, M. V. (2018). Geodesics on the Group of Semi-Affine Transformations of the Euclidean Plane. Russian Mathematics, 62(7), 74-77. https://doi.org/10.3103/S1066369X18070095

Vancouver

Tryamkin MV. Geodesics on the Group of Semi-Affine Transformations of the Euclidean Plane. Russian Mathematics. 2018 Jul 1;62(7):74-77. doi: 10.3103/S1066369X18070095

Author

Tryamkin, M. V. / Geodesics on the Group of Semi-Affine Transformations of the Euclidean Plane. In: Russian Mathematics. 2018 ; Vol. 62, No. 7. pp. 74-77.

BibTeX

@article{ee7e7189b6c44a9885d7d6237ccfe3ab,
title = "Geodesics on the Group of Semi-Affine Transformations of the Euclidean Plane",
abstract = "We obtain parameterized representations of geodesics of a sub-Riemannian metric on the 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 = "geodesics, Lie groups, sub-Riemannian structure",
author = "Tryamkin, {M. V.}",
year = "2018",
month = jul,
day = "1",
doi = "10.3103/S1066369X18070095",
language = "English",
volume = "62",
pages = "74--77",
journal = "Russian Mathematics",
issn = "1066-369X",
publisher = "Allerton Press Inc.",
number = "7",

}

RIS

TY - JOUR

T1 - Geodesics on the Group of Semi-Affine Transformations of the Euclidean Plane

AU - Tryamkin, M. V.

PY - 2018/7/1

Y1 - 2018/7/1

N2 - We obtain parameterized representations of geodesics of a sub-Riemannian metric on the 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.

AB - We obtain parameterized representations of geodesics of a sub-Riemannian metric on the 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.

KW - geodesics

KW - Lie groups

KW - sub-Riemannian structure

UR - http://www.scopus.com/inward/record.url?scp=85049127035&partnerID=8YFLogxK

U2 - 10.3103/S1066369X18070095

DO - 10.3103/S1066369X18070095

M3 - Article

AN - SCOPUS:85049127035

VL - 62

SP - 74

EP - 77

JO - Russian Mathematics

JF - Russian Mathematics

SN - 1066-369X

IS - 7

ER -

ID: 14279238