papers
Publications (3)
math.DG2026
Magnetic flows on 3D contact sub-Riemannian manifolds via the Rumin complex
Davide Barilari, Tania Bossio, Valentina Franceschi
We show that the appropriate notion of magnetic field on three-dimensional contact sub-Riemannian manifolds is given by a closed Rumin differential two-form. We introduce horizonta…
math.DG2023
Steiner and tube formulae in 3D contact sub-Riemannian geometry
Davide Barilari, Tania Bossio
We prove a Steiner formula for regular surfaces with no characteristic points in 3D contact sub-Riemannian manifolds endowed with an arbitrary smooth volume. The formula we obtain,…
math.DG2026
Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups
Tania Bossio, Luca Rizzi, Tommaso Rossi
The purpose of the paper is threefold: first, we prove optimal regularity results for the distance from submanifolds of general rank-varying sub-Riemannian structures. Then,…