Pseudo-Riemannian Einstein metrics on noncompact homogeneous spaces

DOI10.1007/s00022-019-0518-7OpenAlexW2998397576WikidataQ115389964 ScholiaQ115389964MaRDI QIDQ2301255

Zaili Yan

Publication date: 24 February 2020

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

Full work available at URL: https://doi.org/10.1007/s00022-019-0518-7

zbMATH Keywords

Einstein metricspseudo-Riemannian manifoldsRicci solitons

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 (6)

New pseudo Einstein metrics on Einstein solvmanifolds ⋮ Left invariant Ricci flat metrics on Lie groups ⋮ Existence of left invariant Ricci flat metrics on nilpotent Lie groups ⋮ Double extensions on Riemannian Ricci nilsolitons ⋮ Nice pseudo-Riemannian nilsolitons ⋮ Indefinite nilsolitons and Einstein solvmanifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Examples of algebraic Ricci solitons in the pseudo-Riemannian case
• Einstein solvmanifolds are standard
• Einstein metrics on group manifolds and cosets
• Einstein metrics on compact Lie groups which are not naturally reductive
• Geometry of homogeneous Riemannian manifolds
• The geometry of compact homogeneous spaces with two isotropy summands
• Handbook of pseudo-Riemannian geometry and supersymmetry. Papers based on the 77th meeting ``Encounter between mathematicians and theoretical physicists, Strasbourg, France, 2005.
• Existence and non-existence of homogeneous Einstein metrics
• Symmetric, invariant, non-degenerate bilinear form on a Lie algebra
• Structure of homogeneous Riemann spaces with zero Ricci curvature
• Curvatures of left invariant metrics on Lie groups
• Left-invariant Lorentz metrics on Lie groups
• Noncompact homogeneous Einstein spaces
• Invariant Einstein metrics on certain homogeneous spaces
• On the Ricci curvature of homogeneous metrics on noncompact homogeneous spaces
• A variational approach for compact homogeneous Einstein manifolds
• Isotropic manifolds of indefinite metric
• Homogeneous Einstein metrics and simplicial complexes
• The geometry and structure of isotropy irreducible homogeneous spaces
• Left-Invariant Pseudo-Einstein Metrics on Lie Groups
• Ricci soliton solvmanifolds
• Einstein Metrics from Symmetry and Bundle Constructions: A Sequel
• Einstein solvmanifolds and nilsolitons
• On normal homogeneous Einstein manifolds
• Naturally reductive metrics and Einstein metrics on compact Lie groups
• Indefinite Einstein metrics on simple Lie groups
• Einstein metrics on compact simple Lie groups attached to standard triples
• TWO-STEP NILPOTENT LIE ALGEBRAS WITH AD-INVARIANT METRICS AND A SPECIAL KIND OF SKEW-SYMMETRIC MAPS
• Low-dimensional homogeneous Einstein manifolds
• Ricci soliton homogeneous nilmanifolds

This page was built for publication: Pseudo-Riemannian Einstein metrics on noncompact homogeneous spaces