Kähler Metrics on the Projective Bundle of a Holomorphic Finsler Vector Bundle

被引：0

作者：

Kun Wang

Chun Ping Zhong

机构：

[1] Xiamen University,School of Mathematical Sciences

来源：

Acta Mathematica Sinica, English Series | 2020年 / 36卷

关键词：

Finsler vector bundle; Kähler metric; scalar curvature; Ricci curvature; 32L20; 53C60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let (M,g) be a compact Kahler manifold and (E,F) be a holomorphic Finsler vector bundle of rank r ≥ 2over M. In this paper, we prove that there exists a Kähler metric Φ defined on the projective bundle P(E)of E, which comes naturally from g and F. Moreover, a necessary and sufficient condition for Φ having positive scalar curvature is obtained, and a sufficient condition for Φ having positive Ricci curvature is established.

引用

页码：1279 / 1291

页数：12

共 7 条

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