Pseudo-algebraic Ricci solitons on Einstein nilradicals

DOI10.1515/advgeom-2020-0032zbMath1480.53079OpenAlexW3154135433MaRDI QIDQ2238253

Zaili Yan

Publication date: 1 November 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2020-0032

zbMATH Keywords

pseudo-Riemannian manifoldsRicci solitonsEinstein nilradicals

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (2)

Affine algebraic Ricci solitons associated to the Yano connections on three-dimensional Lorentzian Lie groups ⋮ Indefinite nilsolitons and Einstein solvmanifolds

Cites Work

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• Structure of homogeneous Riemann spaces with zero Ricci curvature
• Noncompact homogeneous Einstein spaces
• Einstein nilpotent Lie groups
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• A canonical compatible metric for geometric structures on nilmanifolds
• Nilsolitons of H-type in the Lorentzian setting
• Einstein solvmanifolds and the pre-Einstein derivation
• Ricci soliton solvmanifolds
• Einstein solvmanifolds and nilsolitons
• Four-dimensional pseudo-Riemannian homogeneous Ricci solitons
• Ricci soliton homogeneous nilmanifolds
• Lorentz Ricci solitons on 3-dimensional Lie groups

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