Minimal networks on balls and spheres for almost standard metrics
| Autor: | Sciaraffia, Luciano |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 |
| Databáze: | arXiv |
| Externí odkaz: |
|