Classification of generalized Einstein metrics on three-dimensional Lie groups

DOI10.4153/s0008414x23000056zbMath1527.53070arXiv2206.01157OpenAlexW4317811202MaRDI QIDQ6057826

Unnamed Author, Vicente Cortés

Publication date: 26 October 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.01157

zbMATH Keywords

Lie groupsgeneralized Einstein metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Generalized geometries (à la Hitchin) (53D18)

Related Items (1)

\(B_n\)-generalized pseudo-Kähler structures

Cites Work

• Generalized complex geometry
• Curvatures of left invariant metrics on Lie groups
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity
• Supergravity as generalised geometry I: type II theories
• Ricci flow, Killing spinors, and T-duality in generalized geometry
• Generalized Ricci Flow
• Generalized Calabi-Yau Manifolds
• Generalized connections, spinors, and integrability of generalized structures on Courant algebroids
• Bismut Ricci flat manifolds with symmetries

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