ρ-Einstein Solitons on Warped Product Manifolds and Applications

被引：3

作者：

Bin Turki, Nasser ^{[1
]}

Shenawy, Sameh ^{[2
]}

EL-Sayied, H. K. ^{[3
]}

Syied, N. ^{[2
]}

Mantica, C. A. ^{[4
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[2] Modern Acad Engn & Technol, Maadi, Egypt

[3] Tanata Univ, Fac Sci, Math Dept, Tanta, Egypt

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

来源：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

关键词：

VECTOR-FIELDS; RICCI; CLASSIFICATION; RIGIDITY;

D O I：

10.1155/2022/1028339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this research is to investigate how a rho-Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of rho-Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a rho-Einstein soliton warped product manifold to make its factor rho-Einstein soliton are examined. On a rho-Einstein gradient soliton warped product manifold, necessary and sufficient conditions for making its factor rho-Einstein gradient soliton are presented. rho-Einstein solitons on warped product manifolds admitting a conformal vector field are also considered. Finally, the structure of rho-Einstein solitons on some warped product space-times is investigated.

引用

页数：10

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