关于hermitian流形全纯截面曲率的一个注记

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2022-03-04 DOI:10.1017/S0017089522000064

Hongjun Li, Chunhui Qiu

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引用次数: 4

摘要

摘要众所周知，在Kähler流形上，全纯截面曲率只是全纯平面截面截面曲率的一半（Zheng，复微分几何（2000））。在本文中，我们证明了如果全纯截面曲率是Hermitian流形上全纯平面截面上截面曲率的一半，则Hermitian度量是Kähler。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on holomorphic sectional curvature of a hermitian manifold

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.

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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.