779 citations · 2k across the 73 of their papers we have counts for
4 papers · 1 filter
The Laplace-Beltrami operator in almost-Riemannian Geometry
Ugo Boscain, Camille Laurent
Two-dimensional almost-Riemannian structures are generalized Riemannian structures on surfaces for which a local orthonormal frame is given by a Lie bracket generating pair of vect…
On 2-step, corank 2 nilpotent sub-Riemannian metrics
Davide Barilari, Ugo Boscain, Jean-Paul Gauthier
In this paper we study the nilpotent 2-step, corank 2 sub-Riemannian metrics that are nilpotent approximations of general sub-Riemannian metrics. We exhibit optimal syntheses for t…
Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues
Ugo Boscain, Francesca Chittaro, Paolo Mason +1
In this paper we present a constructive method to control the bilinear Schrödinger equation via two controls. The method is based on adiabatic techniques and works if the spectrum…
A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule
Ugo Boscain, Marco Caponigro, Thomas Chambrion +1
In this paper we prove an approximate controllability result for the bilinear Schrödinger equation. This result requires less restrictive non-resonance hypotheses on the spectrum o…