Explicit Finsler, sub-Finsler, and Carnot-group examples have unique shortest paths with Fuller chattering, giving a negative answer to Le Donne's question.
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Finsler and sub-Finsler geodesics with chattering
Explicit Finsler, sub-Finsler, and Carnot-group examples have unique shortest paths with Fuller chattering, giving a negative answer to Le Donne's question.