K?hler Metrics on the Pro jective Bundle of a Holomorphic Finsler Vector Bundle

• 作者: Chun Ping ZHONG Kun WANG
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2020,（11）
• 页码范围: 1279-1291
• 页数: 13页
• 语种: 英文

摘要

Let (M, g) be a compact K?hler manifold and (E, F ) be a holomorphic Finsler vector bundle of rank r ≥2 over M . In this paper, we prove that there exists a K?hler metric Φ defined on the pro jective 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 Φhaving positive Ricci curvature is established.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Kun WANG		1	0	0.0	0.0
2	Chun Ping ZHONG		1	0	0.0	0.0