75 citations · 484 across the 32 of their papers we have counts for
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math.DG2010★ 5 cited
Sub-Riemannian structures on 3D Lie groups
Andrei Agrachev, Davide Barilari
We give the complete classification of left-invariant sub-Riemannian structures on three dimensional Lie groups in terms of the basic differential invariants. This classifications…
math.DG2010★ 71 cited
On the Hausdorff volume in sub-Riemannian geometry
Andrei Agrachev, Davide Barilari, Ugo Boscain
For a regular sub-Riemannian manifold we study the Radon-Nikodym derivative of the spherical Hausdorff measure with respect to a smooth volume. We prove that this is the volume of…