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Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2 (2403.10196v1)
Published 15 Mar 2024 in math.MG and math.OC
Abstract: We consider 2-step free-Carnot groups equipped with sub-Finsler distances. We prove that the metric spheres are codimension-one rectifiable from the Euclidean viewpoint. The result is obtained by studying how the Lipschitz constant for the distance function behaves near abnormal geodesics.
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