江汉大学学报（自然科学版）2025，Vol.53Issue(3)：15-19,5.DOI:10.16389/j.cnki.cn42-1737/n.2025.03.002
具有负双截曲率的完备、单连通Kähler流形是Stein流形
Complete,Single-connected Kähler Manifolds with Negative Bisecting Curvature Are Stein Manifolds
杨硕1
作者信息
- 1. 云南师范大学 数学学院,云南 昆明 650500
- 折叠
摘要
Abstract
This paper investigated whether a complete,single connected Kähler manifold M with negative bisecting curvature was a Stein manifold.By reviewing the basic properties of Stein manifolds and Kähler manifolds,we focused on the construction method of holomorphic functions,the proof of compactness,and the single connectivity of manifolds,and then proved that such Kähler manifolds satisfied the definition of Stein manifolds.关键词
Kähler流形/Stein流形/全纯函数/负双截曲率/紧性/单连通性Key words
Kähler manifolds/Stein manifolds/holomorphic functions/negative bisecting curvature/compactness/single connectivity分类
数理科学引用本文复制引用
杨硕..具有负双截曲率的完备、单连通Kähler流形是Stein流形[J].江汉大学学报（自然科学版）,2025,53(3):15-19,5.
