The note demonstrates the diameter is twice the radius in sub-Riemannian manifolds, implying geometric consistency.
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.
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Marco et al. (2026) studied this question.
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