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

JOURNAL OF GEOMETRY AND PHYSICS

卷:80

Article

Calvaruso, Giovanni¹  Zaeim, Amirhesam² 

[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, I-73100 Lecce, Prov Lecce Arne, Italy

[2] Payame Noor Univ, Dept Math, Tehran, Iran

关键词: Ricci solitons;    Yamabe solitons;    Non-reductive homogeneous pseudo-Riemannian manifolds;   

DOI  :  10.1016/j.geomphys.2014.02.007

来源: Elsevier

【 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.

【 授权许可】

Free