Homogeneous Ricci Solitons are Algebraic

Abstract

In this short note, we show that homogeneous Ricci solitons are algebraic. As an application, we see that the generalized Alekseevskii conjecture is equivalent to the Alekseevskii conjecture.

7 pages. minor changes from v1, final version to appear in Geometry & Topology

References in corpus (1)

• Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups

Cited by in corpus (9)

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• Immortal homogeneous Ricci flows
• Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds
• On homogeneous warped product Einstein metrics
• Positive Hermitian Curvature Flow on nilpotent and almost-abelian complex Lie groups
• Indefinite nilsolitons and Einstein solvmanifolds
• A construction of Einstein solvmanifolds not based on nilsolitons
• A non-Standard Indefinite Einstein Solvmanifold
• Codimension one Ricci soliton subgroups of solvable Iwasawa groups