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
  • [11] Some constructions of projectively flat Finsler metrics
    Xiaohuan Mo
    Zhongmin Shen
    Chunhong Yang
    Science in China Series A, 2006, 49 : 703 - 714
  • [12] On a class of locally projectively flat Finsler metrics
    Li, Benling
    Shen, Zhongmin
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2016, 27 (06)
  • [13] Projectively Flat Finsler Spaces with Transformed Metrics
    Shanker, Gauree
    Rani, Sarita
    Kaur, Kirandeep
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2023, 18 (02): : 31 - 50
  • [14] Some constructions of projectively flat Finsler metrics
    Mo Kwhuan
    Shen Zhongmin
    Yang Chunhong
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (05): : 703 - 714
  • [15] ON A CLASS OF LOCALLY PROJECTIVELY FLAT FINSLER METRICS
    Mo, X. H.
    Zhu, H. M.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (03): : 735 - 746
  • [16] On a New Class of Projectively Flat Finsler Metrics
    Li, Ying
    Song, Wei-Dong
    JOURNAL OF MATHEMATICAL STUDY, 2016, 49 (01): : 57 - 63
  • [17] Projectively flat Finsler metrics with orthogonal invariance
    Huang, Libing
    Mo, Xiaohuan
    ANNALES POLONICI MATHEMATICI, 2013, 107 (03) : 259 - 270
  • [18] Dually flat and projectively flat Minkowskian product Finsler metrics
    Li, Jiahui
    He, Yong
    Zhang, Xiaoling
    Zhang, Na
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 524 (02)
  • [19] A Class of Projectively Flat Spherically Symmetric Finsler Metrics
    Weidong SONG
    Yali CHEN
    Journal of Mathematical Research with Applications, 2015, 35 (02) : 215 - 222
  • [20] On a class of projectively Ricci-flat Finsler metrics
    Zhu, Hongmei
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2020, 73
12345