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arxiv: 1112.0424 · v3 · pith:HW2DPU7Enew · submitted 2011-12-02 · 🧮 math.DG

Examples of algebraic Ricci solitons in the Pseudo-Riemannian case

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keywords algebraicriccisolitonscasepseudo-riemanniansolitonexamplesexpanding
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This paper provides a study of algebraic Ricci solitons in the pseudo-Riemannian case. In the Riemannian case, all nontrivial homogeneous algebraic Ricci solitons are expanding algebraic Ricci solitons. In this paper, we obtain a steady algebraic Ricci soliton and a shrinking algebraic Ricci soliton in the Lorentzian setting.

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