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arXiv · 2212.04743

Codimension one Ricci soliton subgroups of nilpotent Iwasawa groups

Victor Sanmartin-Lopez
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Abstract

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.

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Victor Sanmartin-Lopez. 2022-12-09. Codimension one Ricci soliton subgroups of nilpotent Iwasawa groups. https://arxiv.org/abs/2212.04743

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