Journal of Mathematical Physics, Analysis, Geometry
2018, vol. 14, No 2, pp. 132-140   https://doi.org/10.15407/mag14.02.132     ( to contents , go back )
https://doi.org/10.15407/mag14.02.132

Ricci Solitons on Lorentzian Four-Dimensional Generalized Symmetric Spaces

Amel Bouharis

Université d'Oran 1 Ahmed Ben Bella, BP 1524, ELM Naouer 31000, Oran, Algeria
E-mail: bouharis@yahoo.fr

Bachir Djebbar

Université des Sciences et de la Technologie d'Oran "Mohamed Boudiaf", BP 1505, Bir El Djir 31000, Oran, Algeria
E-mail: badj2001@yahoo.fr

Received April 5, 2017, revised May June 5, 2017.

Abstract

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

Mathematics Subject Classification 2010: 53C20, 53C21.
Key words: Lorentzian metric, Ricci Solitons, gradient Ricci solitons, generalized symmetric spaces.

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