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

页码：75 / 84

页数：10

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