On complete noncompact Kahler manifolds with positive bisectional curvature

被引：27

作者：

Chen, BL ^{[1
]}

Zhu, XP

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China

来源：

MATHEMATISCHE ANNALEN | 2003年 / 327卷 / 01期

关键词：

D O I：

10.1007/s00208-003-0385-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a complete noncompact Kahler manifold M-n of positive bisectional curvature satisfying suitable growth conditions is biholomorphic to a pseudoconvex domain of C-n and we show that the manifold is topologically R-2n. In particular, when M-n is a Kahler surface of positive bisectional curvature satisfying certain natural geometric growth conditions, it is biholomorphic to C-2.

引用

页码：1 / 23

页数：23

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