Year: 2026
Type: preprint
Abstract: We prove that every complete Kähler--Ricci shrinker with nonnegative Ricci curvature is holomorphically isometric to $\mathbb{C}^k\times N^{n-k}$ for some $0\le k\le n$, where $\mathbb{C}^k$ is the Gaussian shrinker and $N$ is a compact Kähler--Ricci shrinker with nonnegative Ricci curvature. As a corollary, every complete Kähler--Ricci shrinker with quasi-positive Ricci curvature is compact.
Source: arXiv (Cornell University)
Authors: Xu, Tongxin, Zhang, Zhenlei
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223114132