论文标题
nilpotent iwasawa群的一个concimension ricci soliton子组
Codimension one Ricci soliton subgroups of nilpotent Iwasawa groups
论文作者
论文摘要
任何均匀的Ricci Soliton（特别是任何同质的Einstein歧管，负标量曲率的任何同质爱因斯坦歧管），直到等轴测图，是从Nilpotent iwasawa $ n $的谎言亚组中获得的，其诱导的度量是Ricci soliton。由Nilpotent Iwasawa Group提出，我们的意思是iWasawa分解的Nilpotent Lie Group $ n $与非紧缩类型的对称空间相关。出于这个事实的激励，在本文中，我们对任何nilpotent Iwasawa group $ n $的谎言子组进行了分类。
Any expanding homogeneous Ricci soliton (in particular any homogeneous Einstein manifold of negative scalar curvature) can be obtained, up to isometry, from a Lie subgroup of a nilpotent Iwasawa group $N$ whose induced metric is a Ricci soliton. By nilpotent Iwasawa group we mean the nilpotent Lie group $N$ of the Iwasawa decomposition associated with a symmetric space of non-compact type. Motivated by this fact, in this paper we classify codimension one Lie subgroups of any nilpotent Iwasawa group $N$ whose induced metric is a Ricci soliton.
