2-Killing vector fields on warped product manifolds

被引：29

作者：

Shenawy, Sameh ^{[1
]}

Unal, Bulent ^{[2
]}

机构：

[1] Modern Acad Engn & Technol, Dept Basic Sci, Maadi, Egypt

[2] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2015年 / 26卷 / 09期

关键词：

Warped product manifold; 2-Killing vector field; parallel vector fields; standard static space-time and generalized Robertson-Walker space-time; STATIC SPACE-TIMES; ROBERTSON-WALKER SPACETIMES; RIEMANNIAN-MANIFOLDS; CURVATURE; GEOMETRY;

D O I：

10.1142/S0129167X15500652

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper provides a study of 2-Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Robertson-Walker space-times. Some conditions for a 2-Killing vector field on a warped product manifold to be parallel are obtained. Moreover, some results on the curvature of a warped product manifolds in terms of 2-Killing vector fields are derived. Finally, we apply our results to describe 2-Killing vector fields of some well-known warped product space-time models.

引用

页数：17

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