3 papers
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,…
math.MG2025
Curvature exponent of sub-Finsler Heisenberg groups
Samuël Borza, Mattia Magnabosco, Tommaso Rossi +1
The curvature exponent of a metric measure space is the smallest number for which the measure contraction property holds. In this paper,…
math.DG2025
A review of the tangent space in sub-Finsler geometry and applications to the failure of the condition
Mattia Magnabosco, Tommaso Rossi
We review the construction of the tangent space to a sub-Finsler manifold in the measured Gromov-Hausdorff sense. Under suitable assumptions on the measure, the metric measure tang…