?Parallel Translation on K?hler Manifolds

被引：0

作者：

Rongmu YAN ^{[1
]}

机构：

[1] School of Mathematical Sciences, Xiamen University

来源：

ChineseAnnalsofMathematics,SeriesB | 2020年 / 03期

基金：

中央高校基本科研业务费专项资金资助; 中国国家自然科学基金;

关键词：

K?hler manifold; Holomorphic sectional curvature; Parallel translation;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

In this paper, the author establishs a real-valued function on K?hler manifolds by holomorphic sectional curvature under parallel translation. The author proves if such functions are equal for two simply-connected, complete K?hler manifolds, then they are holomorphically isometric.

引用

页码：451 / 464

页数：14