Published Paper

Inserted: 28 mar 2024
Last Updated: 7 jul 2025

Journal: Trans. Amer. Math. Soc.
Volume: 378
Number: 7
Pages: 4955-4990
Year: 2025
Doi: https://doi.org/10.1090/tran/9410

Abstract:

We introduce and study the notion of $C^1_\mathbb{H}$-regular submanifold with boundary in sub-Riemannian Heisenberg groups. As an application, we prove a version of Stokes' Theorem for $C^1_\mathbb{H}$-regular submanifolds with boundary that takes into account Rumin's complex of differential forms in Heisenberg groups.