This article is cited in 2 papers

Ricci solitons on Lorentzian four-dimensional generalized symmetric spaces

Amel Bouharis^a, Bachir Djebbar<sup>b

a</sup> Université d'Oran 1 Ahmed Ben Bella, BP 1524, ELM Naouer 31000, Oran, Algeria
^b Université des Sciences et de la Technologie d’Oran “Mohamed Boudiaf”, BP 1505, Bir El Djir 31000, Oran, Algeria

Abstract: The existence of non-trivial, i.e., non-Einstein, Ricci solitons on four-dimensional Lorentzian generalized symmetric spaces is proved. Moreover, it is shown that only steady Ricci solitons can be gradient.

Key words and phrases: Lorentzian metric, Ricci solitons, gradient Ricci solitons, generalized symmetric spaces.

MSC: 53C20, 53C21

Received: 05.04.2017
Revised: 05.07.2017

Language: English

DOI: 10.15407/mag14.02.132