Rigidity of complex projective spaces in Ricci shrinkers

• DOI: 10.1007/s00526-023-02511-9
• Publication Date: 2023-06-09T05:02:01Z
• Authors: Yu Li; Wenjia Zhang
• Keywords: Rigidity (electromagnetism); Ricci Flow

33 pages<br/>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 $(\mathbb C P^N,g_{FS})$.<br/>