Complete Kähler 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：
Xiaoman Duan
Zhuangdan Guan
机构：
[1] Henan University,School of Mathematics and Statistics
[2] The University of California at Riverside,Department of Mathematics
来源：
Acta Mathematica Scientia | 2024年 / 44卷
关键词：
Kähler Metrics; complete Riemannian metrics; open complex manifolds; holomorphic bisectional curvature; bundle; almost homogeneous manifolds; 53C10; 53C21; 53C26; 53C55; 32L05; 32M12; 32Q20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we study Kähler metrics on a certain line bundle over some compact Kähler manifolds to find complete Kähler 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：24
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