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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2020, Volume 16, Number 2, Pages 190–199
DOI: https://doi.org/10.15407/mag16.02.190 (Mi jmag753) 		 
Ricci solitons of four-dimensional Lorentzian Damek–Ricci spaces

Noura Sidhoumi

École Nationale Polytechnique d'Oran, B.P. 1523 El M'naouar Oran 31000, Algeria
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DOI: https://doi.org/10.15407/mag16.02.190
Abstract: In this paper, we show that the four-dimensional Lorentzian Damek–Ricci spaces are not a Ricci soliton. This is a generalization of the result of Tan and Deng (see 11) who proved that these spaces are not a Ricci soliton only with respect to the left-invariant vector fields.
Key words and phrases: Damek–Ricci spaces, Ricci soliton, left-invariant metrics, Lorentzian metrics.
Received: 08.10.2018
Revised: 28.11.2019
Bibliographic databases:
Document Type: Article
MSC: 53C5015, 53B30
Language: English
Citation: Noura Sidhoumi, “Ricci solitons of four-dimensional Lorentzian Damek–Ricci spaces”, Zh. Mat. Fiz. Anal. Geom., 16:2 (2020), 190–199
Citation in format AMSBIB
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\by Noura~Sidhoumi
\paper Ricci solitons of four-dimensional Lorentzian Damek--Ricci spaces
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2020
\vol 16
\issue 2
\pages 190--199
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