On 3-dimensional contact metric manifolds with \(\nabla_\xi\tau=0\)

DOI10.1007/BF01237607zbMath0905.53024MaRDI QIDQ1266494

Philippos J. Xenos, Florence Gouli-Andreou

Publication date: 4 February 1999

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

zbMATH Keywords

contact metric 3-manifolds\(\eta\)-parallel Ricci-tensorcurvature harmonic Ricci tensorcyclic \(\eta\)-parallel Ricci tensor

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 (8)

Contact 3-manifolds with pseudo-parallel characteristic Jacobi operator ⋮ Some classes of pseudosymmetric contact metric 3-manifolds ⋮ A study of three-dimensional paracontact (κ̃,μ̃,ν̃)-spaces ⋮ Homogeneity on three-dimensional contact metric manifolds ⋮ CERTAIN RESULTS ON THREE-DIMENSIONAL CONTACT METRIC MANIFOLDS ⋮ CONTACT METRIC THREE-MANIFOLDS WITH CONSTANT SCALAR TORSION ⋮ Three dimensional contact metric manifolds with Cotton solitons ⋮ Special directions on contact metric three-manifolds

Cites Work

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• A classification of 3-dimensional contact metric manifolds with \(Q\phi=\phi Q\)
• On a type of contact manifolds
• Contact manifolds in Riemannian geometry
• On a class of contact Riemannian 3-manifolds

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