Kropina Metrics with Isotropic Scalar Curvature

被引：1
|
作者：
Liu, Liulin [1 ]
Zhang, Xiaoling [1 ]
Zhao, Lili [2 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
来源：
AXIOMS | 2023年 / 12卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Kropina metrics; Ricci curvature tensor; scalar curvature; (ALPHA;
D O I：
10.3390/axioms12070611
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study Kropina metrics with isotropic scalar curvature. First, we obtain the expressions of Ricci curvature tensor and scalar curvature. Then, we characterize the Kropina metrics with isotropic scalar curvature on by tensor analysis.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Kropina Metrics with Isotropic Scalar Curvature via Navigation Data
    Ma, Yongling
    Zhang, Xiaoling
    Zhang, Mengyuan
    MATHEMATICS, 2024, 12 (04)
  • [2] ON THE SCALAR CURVATURE OF KROPINA METRICS I
    Zhu, Hongmei
    Song, Lumin
    HOUSTON JOURNAL OF MATHEMATICS, 2023, 49 (03): : 579 - 602
  • [3] On Kropina metrics of scalar flag curvature
    Xia, Qiaoling
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2013, 31 (03) : 393 - 404
  • [4] On m-Kropina Finsler Metrics of Scalar Flag Curvature
    Guojun Yang
    Results in Mathematics, 2019, 74
  • [5] On m-Kropina Finsler Metrics of Scalar Flag Curvature
    Yang, Guojun
    RESULTS IN MATHEMATICS, 2019, 74 (01)
  • [6] On Randers metrics of isotropic scalar curvature
    Cheng, Xinyue
    Yuan, Mingao
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2014, 84 (1-2): : 63 - 74
  • [7] ON THE CURVATURE OF INVARIANT KROPINA METRICS
    Moghaddam, H. R. Salimi
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2011, 4 (02): : 136 - 140
  • [8] ON CONFORMALLY FLAT POLYNOMIAL (α, β)-METRICS WITH WEAKLY ISOTROPIC SCALAR CURVATURE
    Chen, Bin
    Xia, KaiWen
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (02) : 329 - 352
  • [9] ON 4-TH ROOT METRICS OF ISOTROPIC SCALAR CURVATURE
    Tayebi, Akbar
    MATHEMATICA SLOVACA, 2020, 70 (01) : 161 - 172
  • [10] On Kropina metrics with non-Riemannian curvature properties
    Chen, Guangzu
    Liu, Lihong
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2015, 43 : 180 - 191
12345