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Ricci Solitons on Lorentzian Four-Dimensional Generalized Symmetric Spaces

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.

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Bibliographic Details
Main Authors: Bouharis, A., Djebbar, B.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/145864
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Description
Summary: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.