Algebraic Ricci solitons of three-dimensional Lorentzian Lie groups

被引：22
|
作者：
Batat, W. [1 ]
Onda, K. [2 ]
机构：
[1] Ecole Natl Polytech Oran, BP 1523, El Mnaouar Oran 31000, Algeria
[2] Shumei Univ, Fac Teacher Educ, Yachiyo 2760003, Japan
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2017年 / 114卷
关键词：
Lorentzian Lie groups; Left-invariant metrics; Algebraic Ricci solitons; METRICS;
D O I：
10.1016/j.geomphys.2016.11.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study algebraic Ricci solitons of three-dimensional Lorentzian Lie groups. All algebraic Ricci solitons that we obtain are solvsolitons. In particular, we obtain new solitons on G(2), G(5), and G(6), and we prove that, contrary to the Riemannian case, Lorentzian Ricci solitons need not be algebraic Ricci solitons. (C) 2016 Elsevier B.V. All rights reserved.
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页码：138 / 152
页数：15
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