Recently, Jablonski proved that, to a large extent, a simply connected solvable Lie group endowed with a left-invariant Ricci soliton metric can be isometrically embedded into the solvable Iwasawa group of a non-compact symmetric space. Motivated by this result, we classify codimension one subgroups of the solvable Iwasawa groups of irreducible symmetric spaces of non-compact type whose induced metrics are Ricci solitons. We also obtain the classifications of codimension one Ricci soliton subgroups of Damek-Ricci spaces and generalized Heisenberg groups.

中文翻译：

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可解 Iwasawa 群的 Codimension 一 Ricci 孤子子群

最近，Jablonski 证明，在很大程度上，赋予左不变 Ricci 孤子度量的单连通可解李群可以等距嵌入到非紧对称空间的可解岩泽群中。受这一结果的启发，我们将非紧型不可约对称空间的可解岩泽群的第一个子群分类，其诱导度量是 Ricci 孤子。我们还获得了 Damek-Ricci 空间和广义海森堡群的余维一 Ricci 孤子子群的分类。