On diameter rigidity for K\"ahler manifolds with positive holomorphic sectional curvature
Jianchun Chu, Man-Chun Lee, Jintian Zhu
TL;DR
This paper proves a diameter rigidity theorem for K"ahler manifolds with positive holomorphic sectional curvature, extending understanding of geometric constraints in such complex manifolds.
Contribution
It introduces new diameter rigidity results specifically for K"ahler manifolds with positive holomorphic sectional curvature, a novel geometric insight.
Findings
Diameter bounds for K"ahler manifolds with positive holomorphic sectional curvature
Rigidity results characterizing the structure of such manifolds
Extension of classical rigidity theorems to the K"ahler setting
Abstract
In this paper, we establish some diameter rigidity for K\"ahler manifolds with positive holomorphic sectional curvature.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Holomorphic and Operator Theory