Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2018, Volume 14, Number 2, Pages 132–140
DOI: https://doi.org/10.15407/mag14.02.132 (Mi jmag693) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Ricci solitons on Lorentzian four-dimensional generalized symmetric spaces

Amel Bouharisa, Bachir Djebbarb

a 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
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DOI: https://doi.org/10.15407/mag14.02.132
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.
Received: 05.04.2017
Revised: 05.07.2017
Document Type: Article
MSC: 53C20, 53C21
Language: English
Citation: Amel Bouharis, Bachir Djebbar, “Ricci solitons on Lorentzian four-dimensional generalized symmetric spaces”, Zh. Mat. Fiz. Anal. Geom., 14:2 (2018), 132–140
Citation in format AMSBIB
\Bibitem{BouDje18}
\by Amel~Bouharis, Bachir~Djebbar
\paper Ricci solitons on Lorentzian four-dimensional generalized symmetric spaces
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2018
\vol 14
\issue 2
\pages 132--140
\mathnet{http://mi.mathnet.ru/jmag693}
\crossref{https://doi.org/10.15407/mag14.02.132}
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