Almost contact Riemannian three-manifolds with Reeb flow symmetry

DOI10.1016/j.difgeo.2021.101736zbMath1472.53091OpenAlexW3128186114WikidataQ115354613 ScholiaQ115354613MaRDI QIDQ2022423

Domenico Perrone

Publication date: 29 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101736

zbMATH Keywords

Reeb flowRicci operatoralmost \(\alpha\)-Kenmotsu three-manifoldsGaussian and extrinsic curvaturenon-unimodular Lie groups

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 (2)

Almost Kenmotsu 3-manifolds with pseudo-parallel characteristic Jacobi operator ⋮ Unnamed Item

Cites Work

• Cosymplectic and \(\alpha\)-cosymplectic Lie algebras
• Tightness in contact metric 3-manifolds
• On the geometry of almost contact metric manifolds of Kenmotsu type
• Almost contact structures and curvature tensors
• Curvatures of left invariant metrics on Lie groups
• The second fundamental form of a plane field
• Classification of homogeneous almost \(\alpha\)-coKähler three-manifolds
• Levi flat \textit{CR} structures on 3D Lie algebras
• Contact semi-Riemannian structures in CR geometry: some aspects
• Reeb flow symmetry on almost contact three-manifolds
• Some results on cosymplectic manifolds
• Integrability of almost cosymplectic structures
• A class of almost contact Riemannian manifolds
• Natural almost contact structures and their 3D homogeneous models
• Left-invariant almost α-coKähler structures on 3D semidirect product Lie groups
• Constant mean curvature surfaces in metric Lie groups

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