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.
Citation:
M. V. Tryamkin, “The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane”, Sibirsk. Mat. Zh., 60:1 (2019), 214–228; Siberian Math. J., 60:1 (2019), 164–177