A note on holomorphic sectional curvature of a hermitian manifold
A note on holomorphic sectional curvature of a hermitian manifold
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DOI：
10.1017/s0017089522000064
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Chunhui Qiu
中科院分区：
文献类型：
--
作者：
Hongjun Li;Chunhui Qiu
Abstract. As is well known, the holomorphic sectional curvature is just half of the sectional curvature in a holomorphic plane section on a Kähler 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 Kähler.
