Left-invariant almost α-coKähler structures on 3D semidirect product Lie groups

DOI10.1142/S0219887819500117zbMath1432.53112OpenAlexW2899098625WikidataQ115245336 ScholiaQ115245336MaRDI QIDQ4615126

Domenico Perrone

Publication date: 1 February 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887819500117

zbMATH Keywords

Gaussian curvature3D Lie groupsalmost $\alpha$-Kenmotsu structuresalmost co-Kähler structuresalmost cosymplectic structuresharmonicity of Reeb vector fieldleft-invariant almost $\alpha$-co-Kähler structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometric aspects of harmonic maps (53C43) Almost contact and almost symplectic manifolds (53D15)

Related Items (6)

Almost Kenmotsu 3-manifolds with pseudo-parallel characteristic Jacobi operator ⋮ Levi flat \textit{CR} structures on 3D Lie algebras ⋮ Unnamed Item ⋮ 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

• Cosymplectic and \(\alpha\)-cosymplectic Lie algebras
• Minimal Reeb vector fields on almost cosymplectic 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
• Curvatures of left invariant metrics on Lie groups
• Classification of homogeneous almost \(\alpha\)-coKähler three-manifolds
• Almost contact metric manifolds whose Reeb vector field is a harmonic section
• Some results on cosymplectic manifolds
• 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
• Locally conformal almost cosymplectic manifolds
• Constant mean curvature surfaces in metric Lie groups
• Note on left invariant almost cosymplectic structures
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