Conformal vector fields on complete Finsler spaces of constant Ricci curvature

被引：8
|
作者：
Bidabad, B. [1 ]
Joharinad, P. [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran 15914, Iran
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2014年 / 33卷
关键词：
Finsler manifold; Concircular vector fields; Ricci constant; Einstein spaces; Scalar curvature;
D O I：
10.1016/j.difgeo.2014.01.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, it is proved that if a complete Finsler manifold of positive constant Ricci curvature admits a solution to a certain ODE, then it is homeomorphic to the n-sphere. Next, a geometric meaning is obtained for solutions of this ODE, which is applicable to Einstein-Randers spaces. Moreover, some results on Finsler spaces admitting a special conformal vector field are obtained. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：75 / 84
页数：10
相关论文
共 50 条
12345