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

M. V. Tryamkin

doi:10.1134/S003744661901018X

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

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

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	164-177
Число страниц	14
Журнал	Siberian Mathematical Journal
Том	60
Номер выпуска	1
DOI	https://doi.org/10.1134/S003744661901018X
Состояние	Опубликовано - 1 янв 2019

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10.1134/S003744661901018X

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

В: Siberian Mathematical Journal, Том 60, № 1, 01.01.2019, стр. 164-177.

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

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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.

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