E. Le Donne - L. Nalon
Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2
preprint
Inserted: 27 mar 2024
Year: 2024
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.