Rigidity of complex projective spaces in Ricci shrinkers

Yu Li; Wenjia Zhang

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arXiv · 2203.07762

Rigidity of complex projective spaces in Ricci shrinkers

Yu Li·Wenjia Zhang

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Abstract

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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Yu Li, Wenjia Zhang. 2022-03-15. Rigidity of complex projective spaces in Ricci shrinkers. https://arxiv.org/abs/2203.07762

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