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Mathematics > Differential Geometry
Title: Submanifolds with boundary and Stokes' Theorem in Heisenberg groups
(Submitted on 27 Mar 2024)
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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