Year: 2026
Type: preprint
Abstract: Following the recent work of M. Womack \cite{Wo26} we consider the steady Ricci Yang-Mills solitons on 2d surfaces containing orbifold point $\mathbb{R}^2/\mathbb{Z}_p$. We show that there are a family of solitons depending parameter $λ$ which approaches to $\mathbb{Z}_p$-quotient of Hamilton cigar soliton as $λ\to (-2/p)^+$ and approaches to (after rescaling) $\mathbb{Z}_p$-quotient of round sphere as $λ\to \infty$. For any integer $q >p$ there is a $λ$ whose corresponding soliton metric is defined on football orbifold $S_{p,q}^2$.
Source: arXiv (Cornell University)
Authors: Lu, Peng, Zhou, Jiuru
Institution: University of Oregon
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Yangzhou University
OpenAlex ID: W7215072917