A note on holomorphic sectional curvature of a hermitian manifold

被引：3
|
作者：
Li, Hongjun [1 ]
Qiu, Chunhui [2 ]
机构：
[1] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
GLASGOW MATHEMATICAL JOURNAL | 2022年 / 64卷 / 03期
基金：
中国国家自然科学基金;
关键词：
holomorphic sectional curvature; sectional curvature; Kahler manifold;
D O I：
10.1017/S0017089522000064
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
As is well known, the holomorphic sectional curvature is just half of the sectional curvature in a holomorphic plane section on a Kahler manifold (Zheng, Complex differential geometry (2000)). In this article, we prove that if the holomorphic sectional curvature is half of the sectional curvature in a holomorphic plane section on a Hermitian manifold then the Hermitian metric is Kahler.
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页码：739 / 745
页数：7
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