Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups.
Stability of the Cut Locus in Dimensions Less Than or Equal to 6.
Structures symplectiques faibles et intégrabilité globale de certains systèmes hamiltoniens
Subriemannian geodesics of Carnot groups of step 3
In Carnot groups of step ≤ 3, all subriemannian geodesics are proved to be normal. The proof is based on a reduction argument and the Goh condition for minimality of singular curves. The Goh condition is deduced from a reformulation and a calculus of the end-point mapping which boils down to the graded structures of Carnot groups.