Displaying similar documents to “On a weakly symmetric Riemannian manifold admitting a special type of semi-symmetric metric connection.”

On weakly φ -symmetric Kenmotsu Manifolds

Shyamal Kumar Hui (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The object of the present paper is to study weakly φ -symmetric and weakly φ -Ricci symmetric Kenmotsu manifolds. It is shown that weakly φ -symmetric and weakly φ -Ricci symmetric Kenmotsu manifolds are η -Einstein.

On Weakly W 3 -Symmetric Manifolds

Shyamal Kumar Hui (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The object of the present paper is to study weakly W 3 -symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly W 3 -symmetric manifold both the decompositions are weakly Ricci symmetric.

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

Füsun Özen Zengin, S. Aynur Uysal, Sezgin Altay Demirbag (2011)

Annales Polonici Mathematici

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We prove that if the sectional curvature of an n-dimensional pseudo-symmetric 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.