Year: 2024
Type: article
Abstract: We study the existence of minimal networks in the unit sphere $${\textbf{S}}^d$$ S d and the unit ball $${\textbf{B}}^d$$ B d of $${\textbf{R}}^d$$ R d endowed with Riemannian metrics close to the standard ones. We employ a finite-dimensional reduction method, modelled on the configuration of $$\theta $$ θ -networks in $${\textbf{S}}^d$$ S d and triods in $${\textbf{B}}^d$$ B d , jointly with the Lusternik–Schnirelmann category.
Source: Journal of Geometric Analysis
Author: Luciano Sciaraffia
Institution: University of Freiburg
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4401767273