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A note on semi-symmetric \(\pi\)-connection on a Riemannian manifold (Q1059289)

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scientific article; zbMATH DE number 3903480
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English
A note on semi-symmetric \(\pi\)-connection on a Riemannian manifold
scientific article; zbMATH DE number 3903480

    Statements

    A note on semi-symmetric \(\pi\)-connection on a Riemannian manifold (English)
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    1984
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    \textit{K. Yano} synthesized the notion of semi-symmetric connections and the metric connection with torsion [Rev. Roum. Math. Pures Appl. 15, 1579-1586 (1970; Zbl 0213.484)]. The present author deals with this topic to establish certain geometric relations between the curvature tensors, Ricci tensors and scalar curvatures of the semi-symmetric metric connection and the Levi-Civita connection.
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    curvature tensors
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    Ricci tensors
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    scalar curvatures
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    semi-symmetric metric connection
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