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Rigidity of the round cylinders in Ricci shrinkers
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Rigidity of the round cylinders in Ricci shrinkers
classification
math.DG
keywords
riccicylindersmathbbroundshrinkerstimescloseisometric
read the original 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 $S^{n-1}\times \mathbb R$.
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