Mathematics – Differential Geometry
Scientific paper
2011-12-02
Mathematics
Differential Geometry
18 pages
Scientific paper
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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