Geodesics in nilpotent Lie groups

Odinette Renée Abib (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

We study the geodesics problem in Heisenberg group H ( case SR and riemannian). The sheaf of infinitesimal automorphisms of the (2n,2n+1) distribution D over H is an infinite, transitive Lie algebra sheaf.

Mots clés: geometry; nonlinear control systems; distributions

Domaines: Optimisation et contrôle [math.OC]; Géométrie différentielle [math.DG]; Systèmes dynamiques [math.DS]

Odinette Renée Abib. Geodesics in nilpotent Lie groups. 2007. ⟨hal-00005800v2⟩