On a semi-symmetric non-metric connection (Q2867602)

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scientific article; zbMATH DE number 6241309
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On a semi-symmetric non-metric connection
scientific article; zbMATH DE number 6241309

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    On a semi-symmetric non-metric connection (English)
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    19 December 2013
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    Kenmotsu manifold
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    Nijenhuis tensor
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    different curvature tensors
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    Semi-symmetric metric connections on a Riemannian manifold defined in [\textit{K. Yano}, Rev. Roum. Math. Pures Appl. 15, 1579--1586 (1970; Zbl 0213.48401)] were extended to semi-symmetric non-metric connections in [\textit{N. S. Agashe} and \textit{M. R. Chafle}, Indian J. Pure Appl. Math. 23, No. 6, 399--409 (1992; Zbl 0758.53007)] and in many other papers. The last notion was studied in almost contact metric geometry by [\textit{S. K. Chaubey} and \textit{R. H. Ojha}, Tensor, New Ser. 70, No. 2, 202--213 (2008; Zbl 1193.53035)]. Several properties of those connections concerning the Ricci tensor, the scalar and the concircular curvatures are obtained here in the Kenmotsu context.
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