34 citations · 50 across the 12 of their papers we have counts for
5 papers · 1 filter
Sympletic reduction of the sub-Riemannian geodesic flow for metabelian nilpotent groups
Alejandro Bravo-Doddoli, Enrico Le Donne, Nicola Paddeu
We consider nilpotent Lie groups for which the derived subgroup is abelian. We equip them with subRiemannian metrics and we study the normal Hamiltonian flow on the cotangent bundl…
Chaotic subRiemannian geodesic flow in
Alejandro Bravo-Doddoli
The space of -jets of a real function of two real variables, denoted by , admits the structure of a metabelian Carnot group, so $J^2(\mathbb{R}^2,\…
No Periodic normal Geodesics in
Alejandro Bravo-Doddoli
The space of -jets of real function of one real variable admits the structure of a Carnot group, which then has an associated Hamiltonian geodesic flow. As in any Hamilt…
Metric lines in Jet Space
Alejandro Bravo-Doddoli
Given a sub-Riemannian manifold, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of -jets of a real function of one real vari…
No Periodic Geodesics in Jet Space
Alejandro Bravo-Doddoli
The space of -jets of a real function of one real variable admits the structure of a sub-Riemannian manifold, which then has an associated Hamiltonian geodesic flow, a…