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

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.