On three-dimensional conformally flat quasi-Sasakian manifolds

DOI10.1007/BF02093508zbMath0881.53011OpenAlexW2092122369MaRDI QIDQ1375688

Zbigniew Olszak

Publication date: 11 January 1998

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02093508

zbMATH Keywords

quasi-Sasakian manifoldconformally flat manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of local Riemannian geometry (53B21)

Related Items (18)

Some results on $eta$-Ricci solitons in quasi-Sasakian 3-manifolds ⋮ On η-Einstein Trans-Sasakian Manifolds ⋮ Slant Curves and Magnetic Curves ⋮ Classification of 3-dimensional conformally flat Quasi-Para-Sasakian Manifolds ⋮ A note on almost Riemann solitons and gradient almost Riemann solitons ⋮ Unnamed Item ⋮ Invariant and anti-invariant submanifolds of special quasi-Sasakian manifolds ⋮ Certain results for η-Ricci Solitons and Yamabe Solitons on quasi-Sasakian 3-Manifolds ⋮ On three-dimensional locally ϕ-recurrent quasi-Sasakian manifolds ⋮ Unnamed Item ⋮ On Quasi-Sasakian $3$-Manifolds with Respect to the Schouten-van Kampen Connection ⋮ Magnetic curves in quasi-Sasakian 3-manifolds ⋮ On three dimensional quasi-Sasakian manifolds ⋮ Unnamed Item ⋮ Reeb flow invariant \(\ast\)-Ricci operators on trans-Sasakian three-manifolds ⋮ Almost Ricci soliton and gradient almost ricci soliton on 3-dimensional normal almost contact metric manifolds ⋮ Ricci solitons on three dimensional generalized Sasakian space forms with quasi Sasakian metric ⋮ On quasi-Sasakian 3-manifolds admitting η-Ricci solitons

Cites Work

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• Fibred Riemannian spaces with quasi Sasakian structure
• Contact manifolds in Riemannian geometry
• Quasi-Sasakian manifolds
• Topology of almost contact manifolds
• The theory of quasi-Sasakian structures
• Quasi-Sasakian structures of rank 2p + 1
• On the Holonomy Group of the Conformally Flat Riemannian Manifold
• Normal almost contact metric manifolds of dimension three

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