École Nationale Polytechnique d'Oran, B.P. 1523 El M'naouar Oran 31000, Algeria
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.
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