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.
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页码：1 / 23
页数：23
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