English

On K\"ahler Ricci shrinker surfaces

Differential Geometry 2025-02-18 v2

Abstract

In this paper, we prove that any K\"ahler Ricci shrinker surface has bounded sectional curvature. Combining this estimate with earlier work by many authors, we provide a complete classification of all K\"ahler Ricci shrinker surfaces.

Keywords

Cite

@article{arxiv.2301.09784,
  title  = {On K\"ahler Ricci shrinker surfaces},
  author = {Yu Li and Bing Wang},
  journal= {arXiv preprint arXiv:2301.09784},
  year   = {2025}
}

Comments

43 pages, 3 figures, 1 table; Revised version, to appear in Acta Mathematica

R2 v1 2026-06-28T08:18:18.413Z