The conformal vector fields on Kropina manifolds

被引：4
|
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
收藏
页码：344 / 354
页数：11
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