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arXiv · 2102.02236

Codimension one Ricci soliton subgroups of solvable Iwasawa groups

Miguel Dominguez-Vazquez·Victor Sanmartin-Lopez·Hiroshi Tamaru
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Abstract

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.

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Miguel Dominguez-Vazquez, Victor Sanmartin-Lopez, Hiroshi Tamaru. 2021-02-03. Codimension one Ricci soliton subgroups of solvable Iwasawa groups. https://arxiv.org/abs/2102.02236

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