779 citations · 2k across the 73 of their papers we have counts for
11 papers · 1 filter
Surfaces of genus in 3D contact sub-Riemannian manifolds
Eugenio Bellini, Ugo Boscain
We consider surfaces embedded in a 3D contact sub-Riemannian manifold and the problem of the finiteness of the induced distance (i.e., the infimum of the length of horizontal curve…
On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds
Davide Barilari, Ugo Boscain, Daniele Cannarsa
Given a surface in a 3D contact sub-Riemannian manifold , we investigate the metric structure induced on by , in the sense of length spaces. First, we define a coeffi…
Generic singularities of line fields on 2D manifolds
Ugo Boscain, Ludovic Sacchelli, Mario Sigalotti
Generic singularities of line fields have been studied for lines of principal curvature of embedded surfaces. In this paper we propose an approach to classify generic singularities…
Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling
Andrei Agrachev, Ugo Boscain, Robert Neel +1
We relate some basic constructions of stochastic analysis to differential geometry, via random walk approximations. We consider walks on both Riemannian and sub-Riemannian manifold…
Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions
Davide Barilari, Ugo Boscain, Enrico Le Donne +1
In this paper we study the sub-Finsler geometry as a time-optimal control problem. In particular, we consider non-smooth and non-strictly convex sub-Finsler structures associated w…
Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry
Ugo Boscain, Robert Neel, Luca Rizzi
On a sub-Riemannian manifold we define two type of Laplacians. The \emph{macroscopic Laplacian} , as the divergence of the horizontal gradient, once a volume is fixed, and…