phi( Ric)-VECTOR FIELDS IN RIEMANNIAN SPACES

被引：0
|
作者：
Hinterleitner, Irena [1 ]
Kiosak, Volodymyr A. [2 ]
机构：
[1] Brno Univ Technol, Fac Mech Engn, Tech 2896 2, Brno 61669, Czech Republic
[2] Friedrich Schiller Univ Jena, Math Inst, D-07743 Jena, Germany
来源：
ARCHIVUM MATHEMATICUM | 2008年 / 44卷 / 05期
关键词：
special vector field; pseudo-Riemannian spaces; Riemannian spaces; symmetric spaces; Kasner metric;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study vector fields in Riemannian spaces, which satisfy del phi = mu, Ric, mu = const. We investigate the properties of these fields and the conditions of their coexistence with concircular vector fields. It is shown that in Riemannian spaces, noncollinear concircular and phi(Ric)- vector fields cannot exist simultaneously. It was found that Riemannian spaces with phi(Ric)-vector fields of constant length have constant scalar curvature. The conditions for the existence of phi(Ric)-vector fields in symmetric spaces are given.
引用
收藏
页码：385 / 390
页数：6
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