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Quarter-symmetric nonmetric connection on \(P\)-Sasakian manifolds - MaRDI portal

Quarter-symmetric nonmetric connection on \(P\)-Sasakian manifolds (Q1929871)

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scientific article; zbMATH DE number 6123878
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Quarter-symmetric nonmetric connection on \(P\)-Sasakian manifolds
scientific article; zbMATH DE number 6123878

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    Quarter-symmetric nonmetric connection on \(P\)-Sasakian manifolds (English)
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    10 January 2013
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    Summary: The object of the present paper is to study a quarter-symmetric nonmetric connection on a \(P\)-Sasakian manifold. We consider the concircular curvature tensor and conformal curvature tensor on a \(P\)-Sasakian manifold with respect to the quarter-symmetric nonmetric connection. Next, we consider second-order parallel tensor with respect to the quarter-symmetric non-metric connection. Finally, we consider submanifolds of an almost paracontact manifold with respect to a quarter-symmetric non-metric connection.
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    concircular curvature tensor
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    conformal curvature tensor
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    second-order parallel tensor
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    almost paracontact manifold
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