3 papers
math.AP2026
Transport and flow for horizontal Sobolev contact velocities in Carnot groups
Gianluca Somma, Simone Verzellesi, Davide Vittone
We establish new well-posedness results for transport and flow equations driven by contact vector fields on Carnot groups. The velocity fields are assumed to have horizontal Sobole…
math.AP2026
Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups
Luigi Ambrosio, Gianluca Somma, Simone Verzellesi +1
In this paper we obtain the well-posedness of the transport and continuity equations in the Heisenberg groups for a class of contact vector fields , under…
math.OC2025
A note on the diameter of small sub-Riemannian balls
Marco Di Marco, Gianluca Somma, Davide Vittone
We observe that the diameter of small (in a locally uniform sense) balls in sub-Riemannian manifolds equals twice the radius. We also prove that, when the regularity of t…