In a four dimensional sub-Riemannian structure, we study a specific family of abnormal extremals and we show that they are not length minimizing, answering in the negative to a question that was recently asked. We extend the result to a class of 4-dimensional sub-Riemannian manifolds of step 5
For a large class of equiregular sub-Riemannian manifolds, we showthat length minimizing curves have...
We consider the problem P curve of minimizing TeX for a planar curve having fixed initial and final ...
We give a short solution to one of the main open problems in subriemannian geometry. Namely, we prov...
We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizi...
International audienceWe prove the C^1 regularity for a class of abnormal length-minimizers in rank ...
We study the regularity problem for sub-Riemannian geodesics, i.e., for those curves that minimize l...
We study length-minimizing arcs in sub-Riemannian manifolds (M;E;G) whose metric G is defined on a r...
We study sub-Riemannian (Carnot-Caratheodory) metrics defined by noninvolutive distributions on real...
We study sub-Riemannian (Carnot-Caratheodory) metrics defined by noninvolutive distributions on rea...
We present some recent results on the regularity problem of sub-Riemannian length minimizing curves....
For a large class of equiregular sub-Riemannian manifolds, we show that length-minimizing curves hav...
Consider a sub-Riemannian geometry $(U,D,g)$ where $U$ is a neighborhood at $0$ in $\R^n,$ $D$ is a ...
We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an expl...
In this thesis we deal with length minimizing curves in sub-Riemannian manifolds, particularly in a...
We consider the nilpotent sub-Riemannian problem with growth vector (2, 3, 5, 8). We describe and st...
For a large class of equiregular sub-Riemannian manifolds, we showthat length minimizing curves have...
We consider the problem P curve of minimizing TeX for a planar curve having fixed initial and final ...
We give a short solution to one of the main open problems in subriemannian geometry. Namely, we prov...
We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizi...
International audienceWe prove the C^1 regularity for a class of abnormal length-minimizers in rank ...
We study the regularity problem for sub-Riemannian geodesics, i.e., for those curves that minimize l...
We study length-minimizing arcs in sub-Riemannian manifolds (M;E;G) whose metric G is defined on a r...
We study sub-Riemannian (Carnot-Caratheodory) metrics defined by noninvolutive distributions on real...
We study sub-Riemannian (Carnot-Caratheodory) metrics defined by noninvolutive distributions on rea...
We present some recent results on the regularity problem of sub-Riemannian length minimizing curves....
For a large class of equiregular sub-Riemannian manifolds, we show that length-minimizing curves hav...
Consider a sub-Riemannian geometry $(U,D,g)$ where $U$ is a neighborhood at $0$ in $\R^n,$ $D$ is a ...
We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an expl...
In this thesis we deal with length minimizing curves in sub-Riemannian manifolds, particularly in a...
We consider the nilpotent sub-Riemannian problem with growth vector (2, 3, 5, 8). We describe and st...
For a large class of equiregular sub-Riemannian manifolds, we showthat length minimizing curves have...
We consider the problem P curve of minimizing TeX for a planar curve having fixed initial and final ...
We give a short solution to one of the main open problems in subriemannian geometry. Namely, we prov...