52 citations · 59 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
On a class of vector fields with discontinuity of divide-by-zero type and its applications
Roberta Ghezzi, Alexey Remizov
We study phase portraits and singular points of vector fields of a special type, that is, vector fields whose components are fractions with a common denominator vanishing on a smoo…
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…