Complete Kähler metrics with positive holomorphic sectional curvatures on certain line bundles (related to a cohomogeneity one point of view on a Yau conjecture)
- Resource Type
- Original Paper
- Authors
- Duan, Xiaoman; Guan, Zhuangdan
- Source
- Acta Mathematica Scientia. 44(1):78-102
- Subject
- Kähler Metrics
complete Riemannian metrics
open complex manifolds
holomorphic bisectional curvature
C* bundle
almost homogeneous manifolds
53C10
53C21
53C26
53C55
32L05
32M12
32Q20
- Language
- English
- ISSN
- 0252-9602
1572-9087
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.