Area of intrinsic graphs and coarea formula in Carnot Groups

Antoine Julia, Sebastiano Nicolussi Golo, Davide Vittone

We consider submanifolds of sub-Riemannian Carnot groups with intrinsic $C^1$ regularity ($C_H^1$). Our first main result is an area formula for $C_H^1$ intrinsic graphs; as an app…