CC-distance and metric normal of smooth hypersurfaces in sub-Riemannian Carnot groups

N. Arcozzi, F. Ferrari, F. Montefalcone

In this paper we study the main geometric properties of the Carnot-Carathéodory (abbreviated CC) distance $\dc$ in the setting of $k$-step sub-Riemannian Carnot groups from many di…