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.

引用

页码：15 / 25

页数：11

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