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Steady gradient Ricci Yang-Mills solitons on 2-orbifolds
Abstract
Following the recent work of M. Womack \cite{Wo26} we consider the steady Ricci Yang-Mills solitons on 2d surfaces containing orbifold point ℝ2/ℤp. We show that there are a family of solitons depending parameter λ which approaches to ℤp-quotient of Hamilton cigar soliton as λ→ (−2/p)+ and approaches to (after rescaling) ℤp-quotient of round sphere as λ→ ∞. For any integer q >p there is a λ whose corresponding soliton metric is defined on football orbifold Sp,q2.
Related
- Linear Stability of Steady and Expanding Kähler-Ricci Solitons
- O(3)-symmetry of four-dimensional steady Ricci solitons
- Steady conformally Kähler Ricci solitons with isoparametric potential
- Complete steady and shrinking gradient Yamabe solitons
- Kählerity of complete almost-Kähler gradient shrinking Ricci solitons
BibTeX
@misc{lu2026steady,
title = {{Steady gradient Ricci Yang-Mills solitons on 2-orbifolds}},
author = {Peng Lu and Jiuru Zhou},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.38773},
eprint = {2609.38773},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.38773},
}
RIS
TY - UNPB
TI - Steady gradient Ricci Yang-Mills solitons on 2-orbifolds
AU - Peng Lu
AU - Jiuru Zhou
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2609.38773
UR - https://arxiv.org/abs/2609.38773
AB - Following the recent work of M. Womack \cite{Wo26} we consider the steady Ricci Yang-Mills solitons on 2d surfaces containing orbifold point ℝ^2/ℤ_p. We show that there are a family of solitons depending parameter λ which approaches to ℤ_p-quotient of Hamilton cigar soliton as λ→ (−2/p)^+ and approaches to (after rescaling) ℤ_p-quotient of round sphere as λ→ ∞. For any integer q >p there is a λ whose corresponding soliton metric is defined on football orbifold S_p,q^2.
ER -