2022/12/09 by Víctor Sanmartín-López, Sanmartin-Lopez, Victor
Mathematics · Medicine · Physics and Astronomy · #53C35 #53C40 #53C42 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Ophthalmology and Eye Disorders
paper · pdf · doi:10.48550/arxiv.2212.04743
openalex publication_date 2022/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.