Generalized Ricci Solitons on Three-Dimensional Lorentzian Walker Manifolds

被引：1

作者：

Pirhadi, Vahid ^{[1
]}

Fasihi-Ramandi, Ghodratallah ^{[2
]}

Azami, Shahroud ^{[2
]}

机构：

[1] Univ Kashan, Fac Math, Dept Pure Math, Kashan, Iran

[2] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2023年 / 30卷 / 04期

关键词：

Generalized Ricci soliton; Lorentzian Walker manifolds; Strictly Lorentzian Walker manifolds;

D O I：

10.1007/s44198-023-00134-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we characterize the generalized Ricci soliton equation on the threedimensional Lorentzian Walker manifolds. We prove that every generalized Ricci soliton with C, beta, mu not equal 0 on a three-dimensional Lorentzian Walker manifold is steady. Moreover, non-trivial solutions for strictly Lorentzian Walker manifolds are derived. Finally, we give some conditions on the defining function f under which a generalized Ricci soliton on a three-dimensional Lorentzian Walker manifold to be gradient.

引用

页码：1409 / 1423

页数：15

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