On a New Class of Projectively Flat Finsler Metrics

被引：0
|
作者：
Li, Ying [1 ]
Song, Wei-Dong [1 ]
机构：
[1] Anhui Normal Univ, Sch Math & Comp Sci, Wuhu 241000, Anhui, Peoples R China
来源：
JOURNAL OF MATHEMATICAL STUDY | 2016年 / 49卷 / 01期
关键词：
Finsler metric; projectively flat; flag curvature;
D O I：
10.4208/jms.v49n1.16.07
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A class of Finsler metrics with three parameters is constructed. Moreover, a sufficient and necessary condition for this Finsler metrics to be projectively flat was obtained.
引用
收藏
页码：57 / 63
页数：7
相关论文
共 50 条
  • [41] On some projectively flat finsler metrics in terms of hypergeometric functions
    Xiaohuan Mo
    Israel Journal of Mathematics, 2011, 184 : 59 - 78
  • [42] ON A CLASS OF LOCALLY PROJECTIVELY FLAT GENERAL (α, β)-METRICS
    Mo, Xiaohuan
    Zhu, Hongmei
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (04) : 1293 - 1307
  • [43] Projectively flat Finsler metrics with almost isotropic S-curvature
    Cheng, XY
    Shen, ZM
    ACTA MATHEMATICA SCIENTIA, 2006, 26 (02) : 307 - 313
  • [44] On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature
    Liu, Huaifu
    Mo, Xiaohuan
    JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (11) : 11471 - 11492
  • [45] PROJECTIVELY FLAT FINSLER METRICS WITH ALMOST ISOTROPIC S-CURVATURE
    程新跃
    沈忠民
    Acta Mathematica Scientia, 2006, (02) : 307 - 313
  • [46] On some classes of projectively flat Finsler metrics with constant flag curvature
    Cai, Guocai
    Qiu, Chunhui
    Wang, Xiuling
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2020, 68
  • [47] On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature
    Huaifu Liu
    Xiaohuan Mo
    The Journal of Geometric Analysis, 2021, 31 : 11471 - 11492
  • [48] On projectively flat Finsler spaces
    T. Q. Binh
    D. Cs. Kertész
    L. Tamássy
    Acta Mathematica Hungarica, 2013, 141 : 383 - 400
  • [49] On projectively flat Finsler spaces
    Binh, T. Q.
    Kertesz, D. Cs.
    Tamassy, L.
    ACTA MATHEMATICA HUNGARICA, 2013, 141 (04) : 383 - 400
  • [50] On a class of projectively flat metrics with constant flag curvature
    Shen, Z.
    Yidirim, G. Civi
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2008, 60 (02): : 443 - 456
12345