On the concircular curvature of a \((\kappa,\mu,\nu)\)-manifold (Q482364)
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scientific article; zbMATH DE number 6382632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the concircular curvature of a \((\kappa,\mu,\nu)\)-manifold |
scientific article; zbMATH DE number 6382632 |
Statements
On the concircular curvature of a \((\kappa,\mu,\nu)\)-manifold (English)
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30 December 2014
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In the present paper, \((\kappa,\mu,\nu)\)-contact metric 3-manifolds with certain conditions such as Ricci flat, or Einstein but not Sasakian or \(\triangledown Z=0\), where \(Z\) is the concircular curvature tensor, \(Z(\xi. X). Z=0\), where \(Z\) acts as a derivation on \(Z\) are investigated. The results are new and provide a valuable contribution to the field of contact geometry.
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contact metric manifold
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\((\kappa,\mu,\nu)\)-contact metric manifolds
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\(\eta\)-Einstein
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Ricci flat
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Sasakian manifold
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concircular curvature tensor
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pseudosymmetric manifold
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