Submanifolds with boundary in sub-Riemannian Heisenberg Groups

Abstract

We discuss the notion of submanifolds with boundary with intrinsic $C^1$ regularity in sub-Riemannian Heisenberg groups and we provide some examples. Eventually, we present a Stokes' Theorem for such submanifolds involving the integration of Rumin's differential forms in Heisenberg groups.

8 pages, 6 figures; paper submitted to the series "Actes et Congrès" of the "Société Mathématique de France"