Submanifolds with boundary and Stokes’ Theorem in Heisenberg groups

Di Marco, Marco; Julia, Antoine; Nicolussi Golo, Sebastiano; Vittone, Davide

doi:10.1090/tran/9410

Submanifolds with boundary and Stokes’ Theorem in Heisenberg groups
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by Marco Di Marco, Antoine Julia, Sebastiano Nicolussi Golo and Davide Vittone;

Trans. Amer. Math. Soc.

DOI: https://doi.org/10.1090/tran/9410

Published electronically: February 18, 2025

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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.

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