Submanifolds with boundary in sub-Riemannian Heisenberg Groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911114735910912 |
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| author | Di Marco, Marco Vittone, Davide |
| author_facet | Di Marco, Marco Vittone, Davide |
| contents | We discuss the notion of submanifolds with boundary with intrinsic $C^1$ regularity in sub-Riemannian Heisenberg groups and we provide some examples. Eventually, we present a Stokes' Theorem for such submanifolds involving the integration of Rumin's differential forms in Heisenberg groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15634 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Submanifolds with boundary in sub-Riemannian Heisenberg Groups Di Marco, Marco Vittone, Davide Differential Geometry Classical Analysis and ODEs Metric Geometry 53C17, 26B20, 53C65, 58C35 We discuss the notion of submanifolds with boundary with intrinsic $C^1$ regularity in sub-Riemannian Heisenberg groups and we provide some examples. Eventually, we present a Stokes' Theorem for such submanifolds involving the integration of Rumin's differential forms in Heisenberg groups. |
| title | Submanifolds with boundary in sub-Riemannian Heisenberg Groups |
| topic | Differential Geometry Classical Analysis and ODEs Metric Geometry 53C17, 26B20, 53C65, 58C35 |
| url | https://arxiv.org/abs/2508.15634 |