Year: 2026
Type: preprint
Abstract: Let $n\geq3$ and let $Λ\subset \mathbb S^n$ be closed, contain at least two points, and satisfy $\dim_{\mathrm H}Λ<(n-2)/2$. We prove that there exists a complete metric of scalar curvature $n(n-1)$ on $\mathbb S ^n\setminusΛ$, conformal to the round metric.
Source: arXiv (Cornell University)
Authors: Li, Weiyang, Zhang, Heng
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222648677