“…Sub-Riemannian manifolds with growth vector(2,3,5) For the final example, which results in the proof of Proposition 4.5, we consider sub-Riemannian manifolds with growth vector (2, 3, 5), which arise as rolling distributions of surfaces.The nilpotent Lie algebra n is the span of the elements e 1 , e2 , e 3 , e 4 , e 5 satisfying the following structure equations [e 1 , e 2 ] = e 3 , [e 1 , e 3 ] = e 4 , [e 2 , e 3 ] = e 5 .…”