On conformally flat almost contact metric manifolds

DOI10.1007/s00009-015-0652-xzbMath1353.53030OpenAlexW2274374512MaRDI QIDQ727560

David E. Blair, Handan Yıldırım

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0652-x

zbMATH Keywords

conformally flat manifoldscontact metric manifoldsgeneralized Sasakian space formsalmost contact metric manifoldsalmost \(\alpha\)-Kenmotsu manifoldsalmost Kenmotsu manifolds\(*\)-\(\eta\)-Einstein manifolds\(\phi\)-RK manifoldsalmost \(C(\alpha)\)-manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Almost contact and almost symplectic manifolds (53D15)

Related Items (5)

On Weyl tensor of ACR-manifolds of class $C_{12}$ with applications ⋮ Conformally flat almost Kenmotsu 3-manifolds ⋮ Einstein-type metrics on almost Kenmotsu manifolds ⋮ On a class of generalized \(\varphi\)-recurrent Sasakian manifold ⋮ Behavior of ruled real hypersurfaces in a nonflat complex space form from the viewpoint of the curvature tensor

Cites Work

• Almost Kenmotsu manifolds and nullity distributions
• Almost contact structures and curvature tensors
• Curvature identities for Hermitian and almost Hermitian manifolds
• On contact metric manifolds
• Conformally flat contact metric manifolds with \(Q\xi=\varrho\xi\)
• Generalized Sasakian-space-forms
• Almost \(C(\lambda)\)-manifolds
• Submanifolds of cosymplectic manifolds
• A class of almost contact Riemannian manifolds
• Some remarks on space with a certain contact structure
• Curvature structures and conformal transformations
• Ricci-Calculus
• Riemannian geometry of contact and symplectic manifolds
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