On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics

被引：3
作者：
He, Yong [1 ,2 ]
Zhong, Chun-Ping [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[2] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Xinjiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL STUDY | 2016年 / 49卷 / 01期
关键词：
Unitary invariant; complex Landsberg metric; complex Finsler metric;
D O I：
10.4208/jms.v49n1.16.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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收藏
页码：13 / 22
页数：10
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