تقرير
Minimal networks on balls and spheres for almost standard metrics
| العنوان: | Minimal networks on balls and spheres for almost standard metrics |
|---|---|
| المؤلفون: | Sciaraffia, Luciano |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C22, 58E10 |
| الوصف: | We study the existence of minimal networks in the unit sphere $\mathbf{S}^d$ and the unit ball $\mathbf{B}^d$ of $\mathbf{R}^d$ endowed with Riemannian metrics close to the standard ones. We employ a finite-dimensional reduction method, modelled on the configuration of $\theta$-networks in $\mathbf{S}^d$ and triods in $\mathbf{B}^d$, jointly with the Lusternik--Schnirelmann category. Comment: 20 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.13134 |
| رقم الأكسشن: | edsarx.2401.13134 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |