A note on the almost one half holomorphic pinching

2017/09/08 by Xiaodong Cao, Bo Yang, Cao, Xiaodong +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1709.02527

openalex publication_date 2017/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by a previous work of Zheng and the second named author, we study pinching constants of compact Kähler manifolds with positive holomorphic sectional curvature. In particular we prove a gap theorem following the work of Petersen and Tao on Riemannian manifolds with almost quarter-pinched sectional curvature.

Citations

• A Compactness Property for Solutions of the Ricci Flow

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