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- W215568530 abstract "In this study, we consider a manifold equipped with semi symmetric metric connection whose the torsion tensor satisfies a special condition. We investigate some properties of the Ricci tensor and the curvature tensor of this manifold . We obtain a necessary and sufficient condition for the mixed generalized quasi-constant curvature of this manifold. Finally, we prove that if the manifold mentioned above is conformally flat, then it is a mixed generalized quasi- Einstein manifold and we prove that if the sectional curvature of a Riemannian manifold with a semi symmetric metric connection whose the special torsion tensor is independent from orientation chosen, then this manifold is of a mixed generalized quasi constant curvature." @default.
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- W215568530 date "2011-05-13" @default.
- W215568530 modified "2023-10-18" @default.
- W215568530 title "On a Semi Symmetric Metric Connection with a Special Condition on a Riemannian Manifold" @default.
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