2 citations · 5 across the 3 of their papers we have counts for
10 papers
Cut locus and heat kernel at Grushin points of 2 dimensional almost Riemannian metrics
Grégoire Charlot
This article deals with 2d almost Riemannian structures, which are generalized Riemannian structures on manifolds of dimension 2. Such sub-Riemannian structures can be locally defi…
Local properties of almost-Riemannian structures in dimension 3
Ugo Boscain, Grégoire Charlot, Moussa Gaye +1
A 3D almost-Riemannian manifold is a generalized Riemannian manifold defined locally by 3 vector fields that play the role of an orthonormal frame, but could become collinear on so…
On the heat diffusion for generic Riemannian and sub-Riemannian structures
Davide Barilari, Ugo Boscain, Grégoire Charlot +1
In this paper we provide the small-time heat kernel asymptotics at the cut locus in three relevant cases: generic low-dimensional Riemannian manifolds, generic 3D contact sub-Riema…
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
Bernard Bonnard, Grégoire Charlot, Roberta Ghezzi +1
We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Riemannian geometry. We compute estimations of the…
Normal forms and invariants for 2-dimensional almost-Riemannian structures
Ugo Boscain, Grégoire Charlot, Roberta Ghezzi
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…
Lipschitz classification of almost-Riemannian distances on compact oriented surfaces
Ugo Boscain, Grégoire Charlot, Roberta Ghezzi +1
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…