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Rigidity of Five-Dimensional shrinking gradient Ricci solitons
Published 1 Jun 2025 in math.DG | (2506.00887v1)
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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