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arXiv · 1112.0424

Examples of algebraic Ricci solitons in the Pseudo-Riemannian case

Kensuke Onda
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Abstract

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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Kensuke Onda. 2012-03-20. Examples of algebraic Ricci solitons in the Pseudo-Riemannian case. https://arxiv.org/abs/1112.0424

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