تقرير
Submanifolds with boundary and Stokes' Theorem in Heisenberg groups
| العنوان: | Submanifolds with boundary and Stokes' Theorem in Heisenberg groups |
|---|---|
| المؤلفون: | Di Marco, Marco, Julia, Antoine, Golo, Sebastiano Nicolussi, Vittone, Davide |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Classical Analysis and ODEs, Mathematics - Metric Geometry, 53C17, 26B20, 53C65, 58C35 |
| الوصف: | 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. Comment: 30 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.18675 |
| رقم الأكسشن: | edsarx.2403.18675 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |