A class of Sasakian 5-manifolds

DOI10.1007/s00031-009-9058-9zbMath1185.53046arXiv0807.1800OpenAlexW2035631521MaRDI QIDQ733673

Anna Fino, Luigi Vezzoni, Adrián Andrada

Publication date: 19 October 2009

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1800

zbMATH Keywords

Sasakian manifoldsfive-dimensional homogeneous manifoldsleft-invariant Sasakian structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (23)

Invariant conformal Killing-Yano 2-forms on five-dimensional Lie groups ⋮ Geometric Structures On 3-Dimensional Hom-Lie Algebras ⋮ Cosymplectic and \(\alpha\)-cosymplectic Lie algebras ⋮ Three-dimensional homogeneous almost contact metric structures ⋮ Odd‐dimensional counterparts of abelian complex and hypercomplex structures ⋮ Coclosed \(\mathrm{G}_{2}\)-structures inducing nilsolitons ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Unimodular Sasaki and Vaisman Lie groups ⋮ Closed \(\mathrm{G}_2\)-structures on unimodular Lie algebras with non-trivial center ⋮ Unnamed Item ⋮ On five dimensional Sasakian Lie algebras with trivial center ⋮ Five-dimensional \(K\)-contact Lie algebras ⋮ Symplectic, complex and Kähler structures on four-dimensional generalized symmetric spaces ⋮ On generalized Gauduchon metrics ⋮ Almost inner derivations of Lie algebras ⋮ Conformal Killing-Yano 2-forms ⋮ Five-dimensional paracontact Lie algebras ⋮ Complex, symplectic, and contact structures on low-dimensional Lie groups ⋮ Locally conformal symplectic structures on Lie algebras of type I and their solvmanifolds ⋮ Quasi-Sasakian Structures on 5-dimensional Nilpotent Lie Algebras ⋮ On degenerate 3-\((\alpha, \delta)\)-Sasakian manifolds ⋮ Yang-Mills solutions and dyons on cylinders over coset spaces with Sasakian structure ⋮ Almost contact Hom-Lie algebras and Sasakian Hom-Lie algebras

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