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Submanifolds with boundary and Stokes' Theorem in Heisenberg groups
Published 27 Mar 2024 in math.DG, math.CA, and math.MG | (2403.18675v1)
Abstract: We introduce and study the notion of $C1_\mathbb{H}$-regular submanifold with boundary in sub-Riemannian Heisenberg groups. As an application, we prove a version of Stokes' Theorem for $C1_\mathbb{H}$-regular submanifolds with boundary that takes into account Rumin's complex of differential forms in Heisenberg groups.
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