Complete Kahler metrics with positive holomorphic sectional curvatures on certain line bundles (related to a cohomogeneity one point of view on a Yau conjecture)

被引：0
|
作者：
Duan, Xiaoman [1 ]
Guan, Zhuangdan [1 ,2 ]
机构：
[1] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China
[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA
来源：
ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 01期
关键词：
Kahler Metrics; complete Riemannian metrics; open complex manifolds; holomorphic bisectional curvature; C* bundle; almost homogeneous manifolds; EXTREMAL METRICS; MANIFOLDS; COMPACT; EXISTENCE; THEOREM;
D O I：
10.1007/s10473-024-0103-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study Kahler metrics on a certain line bundle over some compact Kahler manifolds to find complete Kahler metrics with positive holomorphic sectional (or bisectional) curvatures. Thus, we apply a strategy to a famous Yau conjecture with a co-homogeneity one geometry.
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页码：78 / 102
页数：25
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