2-Killing vector fields on warped product manifolds

被引：37

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

共 32 条

[1]

Al-Ghefari R., 2011, DIFFER GEOM DYN SYST, V13, P27

[2]

ALLISON D, 1988, GEOMETRIAE DEDICATA, V26, P85

[3]

Allison D. E., 1998, GEN RELAT GRAVIT, V20, P115

[4] Geodesic structure of standard static space-times [J].

Allison, DE ;

Ünal, B .

JOURNAL OF GEOMETRY AND PHYSICS, 2003, 46 (02) :193-200

[5]

[Anonymous], 2008, EINSTEIN MANIFOLDS

[6]

[Anonymous], APPL DIFFERENTIAL GE

[7] Conformal symmetries in warped manifolds [J].

Apostolopoulos, PS ;

Carot, JG .

ELEVENTH CONFERENCE ON RECENT DEVELOPMENTS IN GRAVITY, 2005, 8 :28-33

[8] Invariant monotone vector fields on Riemannian manifolds [J].

Barani, A. ;

Pouryayevali, M. R. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) :1850-1861

[9] Killing vector fields of constant length on Riemannian manifolds [J].

Berestovskii, V. N. ;

Nikonorov, Yu. G. .

SIBERIAN MATHEMATICAL JOURNAL, 2008, 49 (03) :395-407

[10] MANIFOLDS OF NEGATIVE CURVATURE [J].

BISHOP, RL ;

ONEILL, B .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 145 :1-&

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