M. V. Tryamkin, “The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane”, Sibirsk. Mat. Zh., 2019, Volume 60, Number 1,Pages <nobr>214

This article is cited in 3 papers

The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane

M. V. Tryamkin^ab

^a Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

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, sub-Riemannian structure, Lie group.

UDC: 514.7

Received: 03.05.2018
Revised: 10.08.2018
Accepted: 17.10.2018

DOI: 10.33048/smzh.2019.60.118