Submanifolds with boundary and Stokes' Theorem in Heisenberg groups
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912466809651200 |
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| author | Di Marco, Marco Julia, Antoine Golo, Sebastiano Nicolussi Vittone, Davide |
| author_facet | Di Marco, Marco Julia, Antoine Golo, Sebastiano Nicolussi Vittone, Davide |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18675 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Submanifolds with boundary and Stokes' Theorem in Heisenberg groups Di Marco, Marco Julia, Antoine Golo, Sebastiano Nicolussi Vittone, Davide Differential Geometry Classical Analysis and ODEs Metric Geometry 53C17, 26B20, 53C65, 58C35 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. |
| title | Submanifolds with boundary and Stokes' Theorem in Heisenberg groups |
| topic | Differential Geometry Classical Analysis and ODEs Metric Geometry 53C17, 26B20, 53C65, 58C35 |
| url | https://arxiv.org/abs/2403.18675 |