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On sectional curvature of a Riemannian manifold with semi-symmetric metric connection

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Zengin, Füsun
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Altay, Demirbağ Sezgin
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Institute of Mathematics, Polish Academy of Sciences

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Abstract

We prove that if the sectional curvature of an n-dimensional pseudosymmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.

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Annales Polonici Mathematici

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0066-2216

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CLOSED

Keywords

Sectional Curvature, Semi - Symmetric Metric Connection, Conformally Flat Manifold, Pseudo - Symmetric Manifold, Concircular Vector Field

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