On a class of weakly Einstein Finsler metrics

被引：0
|
作者：
Zhongmin Shen
Guojun Yang
机构：
[1] Indiana University-Purdue University Indianapolis (IUPUI),Department of Mathematical Sciences
[2] Sichuan University,Department of Mathematics
来源：
Israel Journal of Mathematics | 2014年 / 199卷
关键词：
Scalar Function; Ricc Curvature; Finsler Space; Constant Sectional Curvature; Finsler Geometry;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study a special class of Finsler metrics—m-Kropina metrics which are defined by a Riemannian metric and a 1-form. We prove that a weakly Einstein m-Kropina metric must be Einsteinian. Further, we characterize Einstein m-Kropina metrics in very simple conditions under a suitable deformation, and obtain the local structures of m-Kropina metrics which are of constant flag curvature and locally projectively flat with constant flag curvature respectively.
引用
收藏
页码：773 / 790
页数：17
相关论文
共 50 条
  • [41] A CLASS OF LIFT METRICS ON FINSLER MANIFOLDS
    Peyghan, E.
    Tayebi, A.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2009, 33 (A2): : 187 - 194
  • [42] On a Class of Smooth Complex Finsler Metrics
    Hongchuan Xia
    Chunping Zhong
    Results in Mathematics, 2017, 71 : 657 - 686
  • [43] On a Class of Ricci Quadratic Finsler Metrics
    Gabrani, Mehran
    Sevim, Esra Sengelen
    Ulgen, Semail
    FRONTIERS OF MATHEMATICS, 2024, 19 (05): : 851 - 864
  • [44] On a class of stretch metrics in Finsler Geometry
    Tayebi, Akbar
    Sadeghi, Hassan
    ARABIAN JOURNAL OF MATHEMATICS, 2019, 8 (02) : 153 - 160
  • [45] On a class of stretch metrics in Finsler Geometry
    Akbar Tayebi
    Hassan Sadeghi
    Arabian Journal of Mathematics, 2019, 8 : 153 - 160
  • [46] On a class of projectively flat (α, β)-Finsler metrics
    Binh, Tran Quoc
    Cheng, Xinyue
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2008, 73 (3-4): : 391 - 400
  • [47] A Class of Finsler Metrics with Quadratic Curvatures
    Bahman Rezaei
    Mehran Gabrani
    Bulletin of the Iranian Mathematical Society, 2020, 46 : 53 - 65
  • [48] On a Class of Landsberg Metrics in Finsler Geometry
    Shen, Zhongmin
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2009, 61 (06): : 1357 - 1374
  • [49] On a Class of Smooth Complex Finsler Metrics
    Xia, Hongchuan
    Zhong, Chunping
    RESULTS IN MATHEMATICS, 2017, 71 (3-4) : 657 - 686
  • [50] On the principal curvatures of a class of Finsler metrics
    Mo, Xiaohuan
    Zhu, Hongmei
    Zhu, Ling
    PUBLICATIONES MATHEMATICAE DEBRECEN, 2024, 104 (3-4): : 457 - 469
12345