Left-Invariant Pseudo-Einstein Metrics on Lie Groups

DOI10.1142/S1402925112500155zbMath1260.53123OpenAlexW2063039737WikidataQ115244606 ScholiaQ115244606MaRDI QIDQ2905319

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Publication date: 27 August 2012

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925112500155

zbMATH Keywords

Ricci curvaturepseudo-Riemannian metricLevi-Civita connectionpseudo-Einstein metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (8)

On Lorentzian Ricci solitons on nilpotent Lie groups ⋮ Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimension ⋮ New pseudo Einstein metrics on Einstein solvmanifolds ⋮ Invariant metrics on Lie groups ⋮ Left invariant Ricci flat metrics on Lie groups ⋮ Double extensions on Riemannian Ricci nilsolitons ⋮ Six-dimensional Lie-Einstein metrics ⋮ Pseudo-Riemannian Einstein metrics on noncompact homogeneous spaces

Cites Work

• Einstein metrics: homogeneous solvmanifolds, generalised Heisenberg groups and black holes
• Einstein solvmanifolds are standard
• Existence and non-existence of homogeneous Einstein metrics
• Homogeneous Einstein metrics on spheres and projective spaces
• Structure of homogeneous Riemann spaces with zero Ricci curvature
• Curvatures of left invariant metrics on Lie groups
• Solvegeometry gravitational waves

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