Calculus of Variations and Geometric Measure Theory

M. Di Marco - D. Vittone

Submanifolds with boundary in sub-Riemannian Heisenberg Groups

created by dimarco on 21 Aug 2025

[BibTeX]

preprint

Inserted: 21 aug 2025

Year: 2025

ArXiv: 2508.15634 PDF

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.