A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces

被引：36
|
作者：
Calvaruso, Giovanni [1 ]
Zaeim, Amirhesam [2 ]
机构：
[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, I-73100 Lecce, Prov Lecce Arne, Italy
[2] Payame Noor Univ, Dept Math, Tehran, Iran
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2014年 / 80卷
关键词：
Ricci solitons; Yamabe solitons; Non-reductive homogeneous pseudo-Riemannian manifolds; LORENTZIAN MANIFOLDS; SPACES;
D O I：
10.1016/j.geomphys.2014.02.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using an explicit description in global coordinates of invariant metrics of four-dimensional homogeneous pseudo-Riemannian manifolds, we completely classify all examples of Ricci solitons among these metrics. Yamabe solitons are also completely classified. (c) 2014 Elsevier B.V. All rights reserved.
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页码：15 / 25
页数：11
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