Ricci Solitons on Lorentzian Four-Dimensional Generalized Symmetric Spaces

Amel Bouharis; Bachir Djebbar

doi:10.15407/mag14.02.132

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Ricci Solitons on Lorentzian Four-Dimensional Generalized Symmetric Spaces

Amel Bouharis Bachir Djebbar

Year: 2018 Journal: Zurnal matematiceskoj fiziki analiza geometrii Vol: 14 (2)Pages: 132-140

DOI: 10.15407/mag14.02.132

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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.

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Pure mathematics Mathematics Mathematical physics Physics Mathematical analysis

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Advanced Differential Geometry Research

Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics

Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Ricci Solitons on Lorentzian Four-Dimensional Generalized Symmetric Spaces

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