Displaying similar documents to “On weakly cyclic Ricci symmetric manifolds”

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 Almost Generalized Weakly Symmetric Kenmotsu Manifolds

Kanak Kanti Baishya, Partha Roy Chowdhury, Josef Mikeš, Patrik Peška (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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This paper aims to introduce the notions of an almost generalized weakly symmetric Kenmotsu manifolds and an almost generalized weakly Ricci-symmetric Kenmotsu manifolds. The existence of an almost generalized weakly symmetric Kenmotsu manifold is ensured by a non-trivial example.

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 Almost Pseudo-Z-symmetric Manifolds

Uday Chand De, Prajjwal Pal (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The object of the present paper is to study almost pseudo-Z-symmetric manifolds. Some geometric properties have been studied. Next we consider conformally flat almost pseudo-Z-symmetric manifolds. We obtain a sufficient condition for an almost pseudo-Z-symmetric manifold to be a quasi Einstein manifold. Also we prove that a totally umbilical hypersurface of a conformally flat A ( P Z S ) n ( n > 3 ) is a manifold of quasi constant curvature. Finally, we give an example to verify the result already obtained...