On a class of 3-dimensional contact metric manifolds

DOI10.1007/BF01221239zbMath0918.53014OpenAlexW1974494973MaRDI QIDQ1281735

Philippos J. Xenos, Florence Gouli-Andreou

Publication date: 23 August 1999

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

Full work available at URL: https://doi.org/10.1007/bf01221239

zbMATH Keywords

Sasakian manifoldcontact metric manifoldparallel Weyl tensor3-\(\tau\)-manifold

Mathematics Subject Classification ID

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

Related Items (3)

Certain results on a type of contact metric manifold ⋮ Some classes of pseudosymmetric contact metric 3-manifolds ⋮ Special directions on contact metric manifolds of negative \(\xi\)-sectional curvature

Cites Work

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• A classification of 3-dimensional contact metric manifolds with \(Q\phi=\phi Q\)
• Contact manifolds in Riemannian geometry
• Two classes of conformally flat contact metric 3-manifolds
• When is the tangent sphere bundle conformally flat?
• Some remarks on space with a certain contact structure
• Locally symmetric $K$-contact Riemannian manifolds

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