Some examples of Finsler metrics with special curvature properties

被引：0

作者：

Guo, Shunzi ^{[1
]}

Liu, Zhishuai ^{[1
]}

Mo, Xiaohuan ^{[2
,3
]}

Yang, Chunhong ^{[4
]}

机构：

[1] Yunnan Normal Univ, Sch Math, Kunming 650500, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[4] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2024年 / 35卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Finsler manifold; flag curvature; warped product; generalized Douglas-Weyl metric; projectively flat;

D O I：

10.1142/S0129167X24500460

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a lot of new non-projectively flat Finsler warped product metrics with zero flag curvature. We also manufacture new generalized Douglas-Weyl (GDW) metrics which are nontrivial in the sense that these metrics are neither Douglas metrics nor Weyl metrics via hyperbolic spaces.

引用

页数：12

共 17 条

[1]

BAcSO S., 2004, Per. Math. Hungarica., V48, P181

[2] MANIFOLDS OF NEGATIVE CURVATURE [J].

BISHOP, RL ;

ONEILL, B .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 145 :1-&

[3]

Chen Z. Shen, CONSTRUCTIONS EINSTE

[4]

Chern Z., 2005, RIEMANN FINSLER GEOM

[5]

Douglas J., 2018, INT J MATH, V29

[6] On Sakaguchi-type result in projective spray geometry [J].

Li, Ying ;

Mo, Xiaohuan .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2021, 200 (05) :2181-2189

[7] On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature [J].

Liu, Huaifu ;

Mo, Xiaohuan .

JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (11) :11471-11492

[8]

Liu HF, 2020, HOUSTON J MATH, V46, P307

[9] Finsler warped product metrics with special Riemannian curvature properties [J].

Liu, Huaifu ;

Mo, Xiaohuan ;

Zhang, Hongzhen .

SCIENCE CHINA-MATHEMATICS, 2020, 63 (07) :1391-1408

[10]

Liu X., 2019, CANAD MATHBULL, V62, P1

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