Classification of homogeneous almost \(\alpha\)-coKähler three-manifolds

DOI10.1016/j.difgeo.2018.04.002zbMath1391.53091OpenAlexW2799383159WikidataQ115355144 ScholiaQ115355144MaRDI QIDQ1636011

Domenico Perrone

Publication date: 1 June 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2018.04.002

zbMATH Keywords

foliationthree-manifoldsalmost \(\alpha\)-Kenmotsu structuresalmost coKähler structuresalmost-cosymplectic structuresleft invariant almost contact metric structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Foliations (differential geometric aspects) (53C12) Almost contact and almost symplectic manifolds (53D15)

Related Items (7)

Pseudo-hyperbolic spaces and 3D Lie groups in paracontact geometry ⋮ Almost Kenmotsu 3-manifolds with pseudo-parallel characteristic Jacobi operator ⋮ Levi flat \textit{CR} structures on 3D Lie algebras ⋮ Left-invariant almost α-coKähler structures on 3D semidirect product Lie groups ⋮ Almost contact Riemannian three-manifolds with Reeb flow symmetry ⋮ Contact semi-Riemannian structures in CR geometry: some aspects ⋮ Ricci solitons on homogeneous almost \(\alpha\)-cosymplectic three-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Cosymplectic and \(\alpha\)-cosymplectic Lie algebras
• Minimal Reeb vector fields on almost cosymplectic manifolds
• A classification of certain almost \(\alpha \)-Kenmotsu manifolds
• On the geometry of almost contact metric manifolds of Kenmotsu type
• Classification of homogeneous almost cosymplectic three-manifolds
• Topology of co-symplectic/co-Kähler manifolds
• On almost cosymplectic manifolds
• Almost contact structures and curvature tensors
• The topology of 4-manifolds
• Curvatures of left invariant metrics on Lie groups
• \(K\)-cosymplectic manifolds
• Some results on cosymplectic manifolds
• The theory of quasi-Sasakian structures
• Integrability of almost cosymplectic structures
• Canonical foliations of certain classes of almost contact metric structures
• Sur quelques exemples de structures pfaffiennes et presque cosymplectiques
• Natural almost contact structures and their 3D homogeneous models
• Einstein almost cokähler manifolds
• A SURVEY ON COSYMPLECTIC GEOMETRY
• Locally conformal almost cosymplectic manifolds
• Constant mean curvature surfaces in metric Lie groups

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