On Kähler Ricci shrinker surfaces
Abstract
In this paper, we prove that any Kähler Ricci shrinker surface has bounded sectional curvature. By combining this estimate with previous research by numerous authors, we achieve a complete classification of all Kähler Ricci shrinker surfaces.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Acta Mathematica
- Publisher
- International Press of Boston
- Volume
- 236
- Issue
- 1
- Pages
- 1–50
- Publication date
- 1 January 2026
- Language
- EN