Submanifolds with boundary and Stokes' Theorem in Heisenberg groups
Differential Geometry
2025-07-08 v1 Classical Analysis and ODEs
Metric Geometry
Abstract
We introduce and study the notion of -regular submanifold with boundary in sub-Riemannian Heisenberg groups. As an application, we prove a version of Stokes' Theorem for -regular submanifolds with boundary that takes into account Rumin's complex of differential forms in Heisenberg groups.
Keywords
Cite
@article{arxiv.2403.18675,
title = {Submanifolds with boundary and Stokes' Theorem in Heisenberg groups},
author = {Marco Di Marco and Antoine Julia and Sebastiano Nicolussi Golo and Davide Vittone},
journal= {arXiv preprint arXiv:2403.18675},
year = {2025}
}
Comments
30 pages