Left invariant Ricci flat metrics on Lie groups

DOI10.1515/forum-2022-0102OpenAlexW4367188861MaRDI QIDQ6175418

Shaoqiang Deng, Zaili Yan

Publication date: 24 July 2023

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2022-0102

zbMATH Keywords

Lie groupdouble extensionleft invariant Ricci flat metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25) General properties and structure of real Lie groups (22E15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Einstein nilpotent Lie groups
• Construction of nice nilpotent Lie groups
• Flat pseudo-Riemannian Lie groups
• Double extensions on Riemannian Ricci nilsolitons
• Indefinite Einstein metrics on nice Lie groups
• Ricci-flat and Einstein Pseudoriemannian nilmanifolds
• Diagram involutions and homogeneous Ricci-flat metrics
• On Einstein Lorentzian nilpotent Lie groups
• Existence of left invariant Ricci flat metrics on nilpotent Lie groups
• Pseudo-Riemannian Einstein metrics on noncompact homogeneous spaces
• On flat pseudo-Euclidean nilpotent Lie algebras
• Flat Nonunimodular Lorentzian Lie Algebras
• Left-Invariant Pseudo-Einstein Metrics on Lie Groups
• Ricci-flat left-invariant Lorentzian metrics on 2-step nilpotent Lie groups
• Left-invariant Lorentzian flat metrics on Lie groups
• Algèbres de Lie et produit scalaire invariant
• Lie algebras with ad-invariant metrics. A survey
• Flat left-invariant pseudo-Riemannian metrics on unimodular Lie groups

This page was built for publication: Left invariant Ricci flat metrics on Lie groups