Calculus of Variations and Geometric Measure Theory

M. Di Marco - A. Julia - S. Nicolussi Golo - D. Vittone

Submanifolds with boundary and Stokes' Theorem in Heisenberg groups

created by vittone on 28 Mar 2024



Inserted: 28 mar 2024
Last Updated: 28 mar 2024

Year: 2024

ArXiv: 2403.18675 PDF


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.