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.
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页码：1409 / 1423
页数：15
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