On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds

Davide Barilari, Ugo Boscain, Daniele Cannarsa

Given a surface $S$ in a 3D contact sub-Riemannian manifold $M$, we investigate the metric structure induced on $S$ by $M$, in the sense of length spaces. First, we define a coeffi…