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On the conharmonic curvature tensor of generalized Sasakian-space-forms - MaRDI portal

On the conharmonic curvature tensor of generalized Sasakian-space-forms (Q1929875)

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scientific article; zbMATH DE number 6123881
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On the conharmonic curvature tensor of generalized Sasakian-space-forms
scientific article; zbMATH DE number 6123881

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    On the conharmonic curvature tensor of generalized Sasakian-space-forms (English)
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    10 January 2013
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    Summary: The object of the present paper is to characterize generalized Sasakian-space-forms satisfying certain curvature conditions for the conharmonic curvature tensor. We study conharmonically semisymmetric, conharmonically flat, \(\xi\)-conharmonically flat, and conharmonically recurrent generalized Sasakian-space-forms. Also, generalized Sasakian space-forms satisfying \(\tilde{\tilde{C}} \cdot S = 0\) and \(\tilde{\tilde{C}} \cdot R = 0\) are studied.
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    conharmonically semisymmetric
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    conharmonically flat
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    \(\xi\)-conharmonically flat
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    conharmonically recurrent
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