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arXiv · 2506.00887

Rigidity of Five-Dimensional shrinking gradient Ricci solitons

Fengjiang Li·Jianyu Ou·Yuanyuan Qu·Guoqiang Wu
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Abstract

Suppose $(M, g, f)$ is a 5-dimensional complete shrinking gradient Ricci soliton with $R=1$. If it has bounded curvature, we prove that it is a finite quotient of $\mathbb{R}^3\times \mathbb{S}^2$.

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Fengjiang Li, Jianyu Ou, Yuanyuan Qu, Guoqiang Wu. 2025-06-01. Rigidity of Five-Dimensional shrinking gradient Ricci solitons. https://arxiv.org/abs/2506.00887

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