Ricci solitons on singly warped product manifolds and applications

被引：16

作者：

De, Uday Chand ^{[1
]}

Mantica, Carlo Alberto ^{[2
]}

Shenawy, Sameh ^{[3
]}

Unal, Bulent ^{[4
]}

机构：

[1] Univ Calcutta, Dept Pure Math, 35 Ballygaunge Circular Rd, Kolkata 700019, W Bengal, India

[2] IIS Lagrange, Via L Modignani 65, I-20161 Milan, Italy

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

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

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 166卷

关键词：

Warped product manifolds; Ricci solitons; Concurrent vector fields; ROBERTSON-WALKER SPACETIMES; VECTOR-FIELDS; CLASSIFICATION; GEOMETRY;

D O I：

10.1016/j.geomphys.2021.104257

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to study implications of a Ricci soliton warped product manifold to its base and fiber manifolds. First, it is proved that if a warped product manifold is Ricci soliton then its factors are Ricci soliton. Then we study Ricci soliton on warped product manifolds admitting either a conformal vector field or a concurrent vector field. Finally, we study Ricci soliton on some warped product space-times. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：10

共 28 条

[1] ENERGY CONDITIONS IN STANDARD STATIC SPACETIMES [J].