Calculus of Variations and Geometric Measure Theory

E. Le Donne - L. Nalon

Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2

created by ledonne on 27 Mar 2024



Inserted: 27 mar 2024

Year: 2024

ArXiv: 2403.10196 PDF


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.