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
收藏
页码：160 / 175
页数：16
相关论文
共 50 条
  • [1] On a class of projectively flat Finsler metrics
    Xia, Qiaoling
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2016, 44 : 1 - 16
  • [2] On a class of projectively flat (α, β)-Finsler metrics
    Binh, Tran Quoc
    Cheng, Xinyue
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2008, 73 (3-4): : 391 - 400
  • [3] On Homogeneous Projectively Flat Finsler Metrics
    Tayebi, A.
    Najafi, B.
    JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (10)
  • [4] A Class of Projectively Flat Finsler Metrics
    Weidong SONG
    Jingyong ZHU
    JournalofMathematicalResearchwithApplications, 2013, 33 (06) : 737 - 744
  • [5] A Class of Projectively Flat Finsler Metrics
    Liu, Huaifu
    Mo, Xiaohuan
    Zhu, Ling
    RESULTS IN MATHEMATICS, 2024, 79 (06)
  • [6] Reduction of Certain Douglas Flat Finsler Metrics
    Zheng, Daxiao
    RESULTS IN MATHEMATICS, 2022, 77 (01)
  • [7] Reduction of Certain Douglas Flat Finsler Metrics
    Daxiao Zheng
    Results in Mathematics, 2022, 77
  • [8] On cylindrical symmetric projectively flat Finsler metrics
    Solorzano, Newton
    Leon, Victor
    JOURNAL OF GEOMETRY AND PHYSICS, 2023, 186
  • [9] Some constructions of projectively flat Finsler metrics
    MO Xiaohuan
    Department of Mathematical Sciences
    Department of Mathematics
    ScienceinChina(SeriesA:Mathematics), 2006, (05) : 703 - 714
  • [10] Projectively Flat Fourth Root Finsler Metrics
    Li, Benling
    Shen, Zhongmin
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2012, 55 (01): : 138 - 145
12345