@article {2012,
	title = {Sub-Riemannian structures on 3D Lie groups},
	journal = {Journal of Dynamical and Control Systems. Volume 18, Issue 1, January 2012, Pages 21-44},
	number = {arXiv:1007.4970;},
	year = {2012},
	publisher = {SISSA},
	abstract = {<p>We give a complete classification of left-invariant sub-Riemannian structures on three dimensional Lie groups in terms of the basic differential invariants. As a corollary we explicitly find a sub-Riemannian isometry between the nonisomorphic Lie groups $SL(2)$ and $A^+(\mathbb{R})\times S^1$, where $A^+(\mathbb{R})$ denotes the group of orientation preserving affine maps on the real line.</p>},
	doi = {10.1007/s10883-012-9133-8},
	url = {http://hdl.handle.net/1963/6453},
	author = {Andrei A. Agrachev and Davide Barilari}
}
