Tamaru's TALK (China 2021)
Data
Codimension one Ricci soliton subgroups of solvable Iwasawa groups
The 6th China-Japan Geometry Conference,
2021/12/28.
Abstract
It is known that
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 noncompact symmetric space.
Motivated by this result,
we classify codimension one subgroups of the solvable Iwasawa groups of irreducible symmetric spaces of noncompact type,
whose induced metrics are Ricci solitons.
In this talk, we explain this result with emphasis on the background.
This talk is based on a joint work with Miguel Dominguez-Vazquez and Victor Sanmartin-Lopez.
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