Some classes of pseudosymmetric contact metric 3-manifolds

DOI10.5402/2012/367467zbMath1250.53031OpenAlexW2092797061WikidataQ58690581 ScholiaQ58690581MaRDI QIDQ415746

Evaggelia Moutafi

Publication date: 9 May 2012

Published in: ISRN Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/367467

zbMATH Keywords

contact metric manifoldpseudosymmetric manifold\((\kappa,\mu,\nu)\)-contact metric manifold

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Local Riemannian geometry (53B20)

Related Items (1)

Pseudo-symmetric almost cosymplectic 3-manifolds

Cites Work

• Three classes of pseudosymmetric contact metric 3-manifolds
• The harmonicity of the Reeb vector field on contact metric 3-manifolds
• Two classes of pseudosymmetric contact metric 3-manifolds
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• Contact manifolds in Riemannian geometry
• On 3-dimensional contact metric manifolds with \(\nabla_\xi\tau=0\)
• On a class of 3-dimensional contact metric manifolds
• A full classification of contact metric \((k,\mu)\)-spaces
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Contact metric manifolds satisfying a nullity condition
• An example of Riemannian manifolds satisfying \(R(X,Y)\cdot R=0\) but not \(\nabla R=0\).
• Pseudo-symmetric contact 3-manifolds III
• Conformally flat pseudo-symmetric spaces of constant type
• On the Existence of a New Class of Contact Metric Manifolds
• PSEUDO-SYMMETRIC CONTACT 3-MANIFOLDS
• Riemannian geometry of contact and symplectic manifolds
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