New pseudo Einstein metrics on Einstein solvmanifolds

DOI10.1007/s00229-020-01249-4zbMath1482.53086OpenAlexW3088804528MaRDI QIDQ2664571

Hui Zhang, Zaili Yan

Publication date: 17 November 2021

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-020-01249-4

zbMATH Keywords

Einstein solvmanifoldpseudo-Riemannian Einstein metric.solvable isometry group

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous Ricci solitons are algebraic
• Examples of algebraic Ricci solitons in the pseudo-Riemannian case
• Algebraic Ricci solitons of three-dimensional Lorentzian Lie groups
• Einstein solvmanifolds are standard
• 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
• Ricci curvature of left invariant metrics on solvable unimodular Lie groups
• Structure of homogeneous Riemann spaces with zero Ricci curvature
• Left-invariant Lorentz metrics on Lie groups
• Noncompact homogeneous Einstein spaces
• Einstein nilpotent Lie groups
• A variational approach for compact homogeneous Einstein manifolds
• Free nilpotent Lie algebras admitting ad-invariant metrics
• Ricci-flat and Einstein Pseudoriemannian nilmanifolds
• Homogeneous Ricci solitons
• Pseudo-Riemannian Einstein metrics on noncompact homogeneous spaces
• Homogeneous Einstein metrics and simplicial complexes
• Structure of homogeneous Ricci solitons and the Alekseevskii conjecture
• Nilsolitons of H-type in the Lorentzian setting
• Left-Invariant Pseudo-Einstein Metrics on Lie Groups
• ON HOMOGENEOUS RICCI SOLITONS
• Ricci soliton solvmanifolds
• 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
• Ricci soliton homogeneous nilmanifolds

This page was built for publication: New pseudo Einstein metrics on Einstein solvmanifolds