Codimension one Ricci soliton subgroups of solvable Iwasawa groups
Codimension one Ricci soliton subgroups of solvable Iwasawa groups
复制标题
DOI：
10.1016/j.matpur.2021.05.008
复制
发表时间：
2021-02
期刊：
影响因子：
--
通讯作者：
M. Domínguez-Vázquez;Víctor Sanmartín-López;H. Tamaru
中科院分区：
文献类型：
--
作者：
M. Domínguez-Vázquez;Víctor Sanmartín-López;H. Tamaru
最近，Jablonski证明了，在很大程度上，一个单连通的可解李群赋予左不变的Ricci孤子度量可以等距嵌入到一个非紧对称空间的可解岩泽群。基于这一结果，我们对非紧型不可约对称空间的可解Iwasawa群的余维1子群进行了分类，其诱导度量为Ricci孤子。我们还得到了Damek-Ricci空间和广义Heisenberg群的余维1 Ricci孤子子群的分类。
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.