Examples of algebraic Ricci solitons in the Pseudo-Riemannian case

Details Examples of algebraic Ricci solitons in the Pseudo-Riemannian case Examples of algebraic Ricci solitons in the Pseudo-Riemannian case

2011-12-02

arxiv.org/abs/1112.0424v3

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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