Homogeneous Ricci solitons on four-dimensional Lie groups with a left-invariant Riemannian metric

DOI10.1134/S1064562415060150zbMath1347.53038OpenAlexW2235731304WikidataQ115247465 ScholiaQ115247465MaRDI QIDQ265969

D. N. Oskorbin, E. D. Rodionov, P. N. Klepikov

Publication date: 13 April 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415060150

zbMATH Keywords

homogeneous spacesLie groupsRiemannian manifoldshomogeneous Ricci solitons

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (6)

Algebraic Ricci solitons on metric Lie groups with zero Schouten-Weyl tensor ⋮ Generalized Ricci solitons on non-reductive four-dimensional homogeneous spaces ⋮ Three-dimensional nonunimodular Lie groups with a Riemannian metric of an invariant Ricci soliton and a semisymmetric metric connection ⋮ Invariant Ricci solitons on three-dimensional metric Lie groups with semi-symmetric connection ⋮ Conformally flat algebraic Ricci solitons on Lie groups ⋮ Unnamed Item

Cites Work

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• Geometry of homogeneous Riemannian manifolds
• Ricci soliton solvmanifolds
• On the spectrum of the curvature operator of conformally flat Riemannian manifolds
• Generic properties of homogeneous Ricci solitons

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