Abstract
In this paper, we prove that the round cylinders are rigid in the space of Ricci shrinkers. Namely, any Ricci shrinker that is sufficiently close to $S^{n-1} \times \mathbb{R}$ in the pointed-Gromov-Hausdorff topology must itself be isometric to $S^{n-1} \times \mathbb{R}$.
Citation
Yu Li. Bing Wang. "Rigidity of the round cylinders in Ricci shrinkers." J. Differential Geom. 127 (2) 817 - 897, June 2024. https://doi.org/10.4310/jdg/1717772425
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