Complete open Kahler manifolds with nonnegative bisectional curvature and non-maximal volume growth

被引：0
|
作者：
Ogaja, James W. [1 ]
机构：
[1] Univ Calif Riverside, 900 Univ Ave, Riverside, CA 92521 USA
来源：
JOURNAL OF GEOMETRY | 2019年 / 110卷 / 03期
关键词：
Cone of rays; volume growth comparison; nonnegative Ricci curvature; positive bisectional curvature; Kahler manifold; Stein manifold; Busemann function;
D O I：
10.1007/s00022-019-0501-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is still an open problem that a complete open Kahler manifold with positive bisectional curvature is Stein. This paper partially resolves the problem by putting a restriction to volume growth condition. The partial solution here improves the observation in B. Wong and Q.-S. Zhang (Asian J Math 7(3):341, 2003). The improvement is based on assuming a weaker volume growth condition that is not sufficiently maximal.
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