On diameter rigidity for Kähler manifolds with positive holomorphic sectional curvature
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.
Authors
- Man-Chun Lee
- Jianchun Chu (ORCID: https://orcid.org/0000-0003-3527-2359)
- Jintian Zhu (ORCID: https://orcid.org/0000-0002-7689-3138)
Publication Details
- Journal
- Mathematische Zeitschrift
- Published
- 2026-09-01
- DOI
- https://doi.org/10.1007/s00209-026-04132-2
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Westlake University
- National Natural Science Foundation of China