Accepted Paper

Inserted: 5 may 2025
Last Updated: 2 mar 2026

Journal: Anal. Geom. Metr. Spaces
Year: 2025

Abstract:

We observe that the diameter of small (in a locally uniform sense) balls in $C^{1,1}$ sub-Riemannian manifolds equals twice the radius. We also prove that, when the regularity of the structure is further lowered to $C^0$, the diameter is arbitrarily close to twice the radius. Both results hold independently of the bracket-generating condition.