On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics  

作　　者：Yong He Chun-Ping Zhong 

机构地区：[1]School of Mathematical Sciences,Xiamen University,Xiamen 361005,Fujian,P.R.China [2]School of Mathematical Sciences,Xinjiang Normal University,Urumqi 830017,Xinjiang,P.R.China

出　　处：《Journal of Mathematical Study》2016年第1期13-22,共10页数学研究（英文）

基　　金：This work was supported by NCET(Grant No.13-0510);NSFC(Grant Nos.11271304,11171277,11571288,11461064);the Fujian Province Natural Science Funds for Distinguished Young Scholar(Grant No.2013J06001).

摘　　要：In this paper,we prove that a unitary invariant strongly pseudoconvex complex Finsler metric is a complex Landsberg metric if and if only if it comes from a unitary invariant Hermitian metric.This implies that there does not exist unitary invariant complex Landsberg metric unless it comes from a unitary invariant Hermitian metric.

关 键 词：Unitary invariant complex Landsberg metric complex Finsler metric 

分 类 号：O18[理学—数学]