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Rigidity of complex projective spaces in Ricci shrinkers

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arxiv 2203.07762 v2 pith:6O3JJ42Z submitted 2022-03-15 math.DG

Rigidity of complex projective spaces in Ricci shrinkers

classification math.DG
keywords mathbbricciclosecomplexgromov-hausdorffisometricitselfmust
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In this paper, we prove that any Ricci shrinker that is sufficiently close to $(\mathbb C P^N,g_{FS})$ in the Gromov-Hausdorff sense must itself be isometric to $(\mathbb C P^N,g_{FS})$.

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