We introduce and study the notion of C^1_H-regular submanifold with boundary in sub-Riemannian Heisenberg groups. As an application, we prove a version of Stokes' Theorem for CH1-regular submanifolds with boundary that takes into account Rumin's complex of differential forms in Heisenberg groups.
Submanifolds with boundary and Stokes’ Theorem in Heisenberg groups
Di Marco, Marco;Vittone, Davide
2025
Abstract
We introduce and study the notion of C^1_H-regular submanifold with boundary in sub-Riemannian Heisenberg groups. As an application, we prove a version of Stokes' Theorem for CH1-regular submanifolds with boundary that takes into account Rumin's complex of differential forms in Heisenberg groups.
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S0002-9947-2025-09410-8.pdf
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Stokes_revised.pdf
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