Einstein solvmanifolds and graphs

DOI10.1016/J.CRMA.2006.11.010zbMath1113.53029OpenAlexW2000473241MaRDI QIDQ866584

Hamid-Reza Fanaï

Publication date: 14 February 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.11.010

zbMATH Keywords

two-step nilpotent Lie algebrasAbelian extension

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30)

Related Items (3)

Abelian factors in 2-step nilpotent Lie algebras constructed from graphs ⋮ Automorphism groups of nilpotent Lie algebras associated to certain graphs ⋮ Unnamed Item

Cites Work

• Noncompact homogeneous Einstein spaces
• Einstein metrics with nonpositive sectional curvature on extensions of Lie algebras of Heisenberg type
• Non-compact homogeneous Einstein spaces
• Einstein metrics on solvable groups
• CLASSIFICATION OF QUATERNIONIC SPACES WITH A TRANSITIVE SOLVABLE GROUP OF MOTIONS
• Anosov automorphisms on compact nilmanifolds associated with graphs
• New homogeneous Einstein metrics of negative Ricci curvature

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