Classification of almost contact metric structures on 3D Lie groups

DOI10.1007/s10958-023-06374-5OpenAlexW4383216978MaRDI QIDQ6147743

Gherici Beldjilali

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06374-5

zbMATH Keywords

almost contact metric structure3-dimensional Lie algebras

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30) Almost contact and almost symplectic manifolds (53D15)

Cites Work

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• Three-dimensional homogeneous almost contact metric structures
• Five-dimensional \(K\)-contact Lie algebras
• A classification of 3-dimensional contact metric manifolds with \(Q\phi=\phi Q\)
• On \(\eta\)-Einstein Sasakian geometry
• A classification of almost contact metric manifolds
• On three dimensional \(C_{12}\)-manifolds
• Curvature of \(C_5\oplus C_{12}\)-manifolds
• On normal almost contact structures
• Normal almost contact metric manifolds of dimension three
• Invariants of real low dimension Lie algebras
• Riemannian geometry of contact and symplectic manifolds

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