Kähler Metrics on the Projective Bundle of a Holomorphic Finsler Vector Bundle |
| |
Authors: | Kun WANG Chun Ping ZHONG |
| |
Institution: | School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China |
| |
Abstract: | Let (M, g) be a compact Kähler 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 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. |
| |
Keywords: | Finsler vector bundle Kä hler metric scalar curvature Ricci curvature |
|
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学学报(英文版)》下载免费的PDF全文 |
|