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Rigidity of the round cylinders in Ricci shrinkers

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 نشر من قبل Yu Li
 تاريخ النشر 2021
  مجال البحث
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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 $S^{n-1}times mathbb R$.



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