We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from the center of the group
International audienceIn this paper we study the notion of geodesic curvature of smooth horizontal c...
In this paper we study the notion of geodesic curvature of smooth horizontal curves parametrized by ...
AbstractThe Grushin plane is a right quotient of the Heisenberg group. Heisenberg geodesics' project...
Abstract. We derive in an elementary way the shape of geodesics of the left invariant Carnot-Carathe...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
Geodesic in the Heisenberg groups are shown to arise from a isoperimetric problem in the Grushin pla...
Geodesic in the Heisenberg groups are shown to arise from a isoperimetric problem in the Grushin pla...
. We show that the Heisenberg groups H 2n+1 of dimension five and higher, considered as Riemannia...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
We characterize convex isoperimetric sets in the Heisenberg group. We first prove Sobolev regularit...
In the sub-Riemannian Heisenberg group equipped with its Carnot-Carath\ue9odory metric and with a Ha...
The metric normal is an useful tool to study geometric invariants of surfaces. In particular we can ...
Abstract. We prove that the natural generalization of the Brunn{Minkowski inequality in the Heisenbe...
The metric normal is an useful tool to study geometric invariants of surfaces. In particular we can ...
We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control t...
International audienceIn this paper we study the notion of geodesic curvature of smooth horizontal c...
In this paper we study the notion of geodesic curvature of smooth horizontal curves parametrized by ...
AbstractThe Grushin plane is a right quotient of the Heisenberg group. Heisenberg geodesics' project...
Abstract. We derive in an elementary way the shape of geodesics of the left invariant Carnot-Carathe...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
Geodesic in the Heisenberg groups are shown to arise from a isoperimetric problem in the Grushin pla...
Geodesic in the Heisenberg groups are shown to arise from a isoperimetric problem in the Grushin pla...
. We show that the Heisenberg groups H 2n+1 of dimension five and higher, considered as Riemannia...
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodo...
We characterize convex isoperimetric sets in the Heisenberg group. We first prove Sobolev regularit...
In the sub-Riemannian Heisenberg group equipped with its Carnot-Carath\ue9odory metric and with a Ha...
The metric normal is an useful tool to study geometric invariants of surfaces. In particular we can ...
Abstract. We prove that the natural generalization of the Brunn{Minkowski inequality in the Heisenbe...
The metric normal is an useful tool to study geometric invariants of surfaces. In particular we can ...
We consider Heisenberg groups equipped with a sub-Finsler metric. Using methods of optimal control t...
International audienceIn this paper we study the notion of geodesic curvature of smooth horizontal c...
In this paper we study the notion of geodesic curvature of smooth horizontal curves parametrized by ...
AbstractThe Grushin plane is a right quotient of the Heisenberg group. Heisenberg geodesics' project...
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