Published Paper
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Inserted: 5 may 2025
Last Updated: 12 nov 2026

Journal: Anal. Geom. Metr. Spaces
Volume: 14
Number: 1
Pages: Paper No. 20250037
Year: 2026
Doi: https://doi.org/10.1515/agms-2025-0037

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.