On diameter rigidity for Kähler manifolds with positive holomorphic sectional curvature
Abstract
Abstract In this paper, we establish some diameter rigidity for Kähler manifolds with positive holomorphic sectional curvature. In comparison with earlier works, our approach is based on constructing extreme $$\mathbb{C}\mathbb{P}^1$$ C P 1 through conformal deformation.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Holomorphic and Operator Theory
Publication details
- Journal / source
- Mathematische Zeitschrift
- Volume
- 314
- Issue
- 1
- Publication date
- 1 September 2026
- Language
- EN