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

M. V. Tryamkin

doi:10.3103/S1066369X18070095

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

M. V. Tryamkin

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	74-77
Число страниц	4
Журнал	Russian Mathematics
Том	62
Номер выпуска	7
DOI	https://doi.org/10.3103/S1066369X18070095
Состояние	Опубликовано - 1 июл 2018

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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.",

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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.

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KW - Lie groups

KW - sub-Riemannian structure

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

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