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.

引用

页码：13 / 22

页数：10

共 50 条

[1] On unitary invariant strongly pseudoconvex complex Finsler metrics
Zhong, Chunping
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2015, 40 : 159 - 186
[2] Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains
Ge, Xiaoshu
Zhong, Chunping
SCIENCE CHINA-MATHEMATICS, 2024, 67 (08) : 1827 - 1864
[3] Characterization of Holomorphic Invariant Strongly Pseudoconvex Complex Finsler Metrics on Unit Polydisks
Lin, Shuqing
Zhong, Chunping
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (11)
[4] Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains
Xiaoshu Ge
Chunping Zhong
Science China(Mathematics), 2024, 67 (08) : 1827 - 1864
[5] Characterization of Holomorphic Invariant Strongly Pseudoconvex Complex Finsler Metrics on Unit Polydisks
Shuqing Lin
Chunping Zhong
The Journal of Geometric Analysis, 2023, 33
[6] Strongly convex weakly complex Berwald metrics and real Landsberg metrics
He, Yong
Zhong, Chunping
SCIENCE CHINA-MATHEMATICS, 2018, 61 (03) : 535 - 544
[7] Strongly convex weakly complex Berwald metrics and real Landsberg metrics
Yong He
Chunping Zhong
Science China Mathematics, 2018, 61 : 535 - 544
[8] Strongly convex weakly complex Berwald metrics and real Landsberg metrics
Yong He
Chunping Zhong
Science China(Mathematics), 2018, 61 (03) : 535 - 544
[9] Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains
Bracci, Filippo
Fornaess, John Erik
Wold, Erlend Fornaess
MATHEMATISCHE ZEITSCHRIFT, 2019, 292 (3-4) : 879 - 893
[10] Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains
Filippo Bracci
John Erik Fornæss
Erlend Fornæss Wold
Mathematische Zeitschrift, 2019, 292 : 879 - 893

← 1 2 3 4 5 →