Submanifolds with boundary in sub-Riemannian Heisenberg Groups
Differential Geometry
2025-08-22 v1 Classical Analysis and ODEs
Metric Geometry
Abstract
We discuss the notion of submanifolds with boundary with intrinsic 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.
Keywords
Cite
@article{arxiv.2508.15634,
title = {Submanifolds with boundary in sub-Riemannian Heisenberg Groups},
author = {Marco Di Marco and Davide Vittone},
journal= {arXiv preprint arXiv:2508.15634},
year = {2025}
}
Comments
8 pages, 6 figures; paper submitted to the series "Actes et Congr\`es" of the "Soci\'et\'e Math\'ematique de France"