Five-dimensional \(K\)-contact Lie algebras

DOI10.1007/s00605-011-0308-2zbMath1261.53045OpenAlexW2463894318MaRDI QIDQ438982

Anna Fino, Giovanni Calvaruso

Publication date: 31 July 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0308-2

zbMATH Keywords

Lie algebrascontact metric structures\(\phi\)-symmetric spaces\(K\)-contact and Sasakian structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Lie algebras of Lie groups (22E60)

Related Items

Nearly para-Kähler geometry on Lie groups ⋮ Geometric Structures On 3-Dimensional Hom-Lie Algebras ⋮ Cosymplectic and \(\alpha\)-cosymplectic Lie algebras ⋮ Classification of almost contact metric structures on 3D Lie groups ⋮ On five dimensional Sasakian Lie algebras with trivial center ⋮ Symplectic, complex and Kähler structures on four-dimensional generalized symmetric spaces ⋮ Para-Kähler hom-Lie algebras ⋮ Complex and Kähler structures on hom-Lie algebras ⋮ Five-dimensional paracontact Lie algebras ⋮ Quasi-Sasakian Structures on 5-dimensional Nilpotent Lie Algebras

Cites Work

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• Solvable Lie algebras are not that hypo
• A class of Sasakian 5-manifolds
• Space time manifolds and contact structures
• On contact manifolds
• Four dimensional symplectic Lie algebras
• Left invariant contact structures on Lie groups
• Contact pseudo-metric manifolds
• Homogeneous contact Riemannian three-manifolds
• Sasakian \(\varphi\)-symmetric spaces
• The classification of \(\varphi\)-symmetric Sasakian manifolds
• Four-dimensional simply connected symplectic symmetric spaces
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• A remark on an example of a 6-dimensional Einstein almost-Kähler manifold
• Almost Kähler 4-dimensional Lie groups with \(J\)-invariant Ricci tensor
• Sasakian manifold with pseudo-Riemannian metric
• Contact homogeneous spaces
• Generalized Killing spinors in dimension 5
• CONTACT 5-MANIFOLDS WITH SU(2)-STRUCTURE
• Riemannian geometry of contact and symplectic manifolds