Sub-Riemannian geodesics on the three-dimensional solvable non-nilpotent   Lie group $SOLV^-$
  In this paper we describe the geodesics of a left-invariant sub-Riemannian metric on the three-dimensional solvable Lie group $SOLV^-$. 
Akmaral D. Mazhitova
math.DG math.OC