Reduction of certain projectively flat Finsler metrics

被引：1

作者：

Zheng, Daxiao ^{[1
]}

机构：

[1] Anhui Normal Univ, Dept Math & Stat, Wuhu 241000, Anhui, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2019年 / 65卷

关键词：

General; (alpha; beta)-metric; Locally projectively; Flag curvature; Deformation; (ALPHA;

D O I：

10.1016/j.difgeo.2019.03.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of Finsler metric defined by a Riemannian metric, a 1-form and its norm. We show that every non-trivial locally projectively flat metrics in such a form can be reexpressed to a special one defined by locally projectively flat Riemannian metric, a closed conformal 1-form and its norm in dimension n >= 3. (C) 2019 Published by Elsevier B.V.

引用

页码：160 / 175

页数：16

共 50 条

[41] On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature
Huaifu Liu
Xiaohuan Mo
The Journal of Geometric Analysis, 2021, 31 : 11471 - 11492
[42] On a Class of Two-Dimensional Douglas and Projectively Flat Finsler Metrics
Yang, Guojun
SCIENTIFIC WORLD JOURNAL, 2013,
[43] On projectively flat Finsler spaces
T. Q. Binh
D. Cs. Kertész
L. Tamássy
Acta Mathematica Hungarica, 2013, 141 : 383 - 400
[44] On projectively flat Finsler spaces
Binh, T. Q.
Kertesz, D. Cs.
Tamassy, L.
ACTA MATHEMATICA HUNGARICA, 2013, 141 (04) : 383 - 400
[45] The explicit construction of projectively Ricci-flat Finsler metrics on double hemispheres
Mo, Xiaohuan
Zhang, Hongzhen
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2022, 101 (1-2): : 175 - 187
[46] Projectively related complex Finsler metrics
Aldea, Nicoleta
Munteanu, Gheorghe
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (05) : 2178 - 2187
[47] On Projectively Flat (α, β)-metrics
Shen, Zhongmin
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2009, 52 (01): : 132 - 144
[48] Projectively flat Asanov Finsler metric
HAN Jing-wei1
Journal of Zhejiang University(Science A:An International Applied Physics & Engineering Journal), 2007, (06) : 963 - 968
[49] Projectively flat Asanov Finsler metric
Han Jing-wei
Yu Yao-yong
JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A, 2007, 8 (06): : 963 - 968
[50] Projectively flat Asanov Finsler metric
Jing-wei Han
Yao-yong Yu
Journal of Zhejiang University-SCIENCE A, 2007, 8 : 963 - 968

← 1 2 3 4 5 →