The conformal vector fields on Kropina manifolds

被引：5

作者：

Cheng, Xinyue ^{[1
,2
]}

Yin, Li ^{[2
]}

Li, Tingting ^{[2
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[2] Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2018年 / 56卷

基金：

中国国家自然科学基金;

关键词：

Kropina metric; Conformal vector field; Flag curvature; Riemann metric; Sectional curvature; SCALAR FLAG CURVATURE; METRICS;

D O I：

10.1016/j.difgeo.2017.10.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study and characterize the conformal vector fields on Kropina manifolds. Furthermore, we obtain the explicit expressions of conformal vector fields on a Kropina manifold (M, F) of weakly isotropic flag curvature with the conditions that b = parallel to beta parallel to alpha is a constant and the dimension of M is greater than two. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：344 / 354

页数：11

共 16 条

[1]

Antonelli P.L., 1993, THEORY SPRAYS FINSLE

[2]

Bacso S., 2007, Adv. Stud. Pure Math., Math. Soc. Japan, V48, P73

[3] RANDERS METRICS OF SCALAR FLAG CURVATURE [J].

Cheng, Xinyue ;

Shen, Zhongmin .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2009, 87 (03) :359-370

[4]

Chern S. S., 2005, Riemannian-Finsler Geometry

[5]

Doebner H.D., 1987, 15 INT C DIFF GEOM M

[6] ON CONFORMAL FIELDS OF A RANDERS METRIC WITH ISOTROPIC S-CURVATURE [J].

Huang, Libing ;

Mo, Xiaohuan .

ILLINOIS JOURNAL OF MATHEMATICS, 2013, 57 (03) :685-696

[7]

Kropina V., 1961, Trudy Sem. Vektor. Tenzor. Anal, V11, P277

[8]

Kropina V.K., 1959, NAUCHN DOKL VYSSH SH, V2, P38

[9]

Matsumoto M., 1978, Tensor, V32, P225

[10]

MATSUMOTO M, 1991, TENSOR NS, V50, P194

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