Pseudo-symmetric contact 3-manifolds III

Jong Taek Cho; Jun-ichi Inoguchi; Ji-Eun Lee

Displaying similar documents to “Pseudo-symmetric contact 3-manifolds III”

Almost pseudo symmetric Sasakian manifold admitting a type of quarter symmetric metric connection

Vishnuvardhana S.V. Venkatesha (2015)

Communications in Mathematics

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In the present paper we have obtained the necessary condition for the existence of almost pseudo symmetric and almost pseudo Ricci symmetric Sasakian manifold admitting a type of quarter symmetric metric connection.

On partially pseudo symmetric $K$ -contact Riemannian manifolds.

Binh, T.Q., De, U.C., Tamássy, L. (2002)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On manifolds satisfying some curvature conditions

Ryszard Deszcz, Wiesław Grycak (1989)

Colloquium Mathematicae

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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...

On the Example of Almost Pseudo-Z-symmetric Manifolds

Kanak Kanti Baishya, Patrik Peška (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In the present paper we have obtained a new example of non-Ricci-flat almost pseudo-Z-symmetric manifolds in the class of equidistant spaces, which admit non-trivial geodesic mappings.

Pseudo projectively flat manifolds satisfying certain condition on the Ricci tensor.

Das, Bandana, Bhattacharyya, Arindam (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

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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.

The First Order PDE System for Type III Osserman Manifolds

Novica Blažić, Neda Bokan, Zoran Rakić (1997)

Publications de l'Institut Mathématique

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On $Φ$ -recurrent Sasakian manifolds.

De, U.C., Shaikh, A.A., Biswas, Sudipta (2003)

Novi Sad Journal of Mathematics

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On weakly symmetric and weakly Ricci-symmetric $K$ -contant manifolds.

De, U.C., Binh, T.Q., Shaikh, A.A. (2000)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity

Uday Chand De, Avik De (2012)

Czechoslovak Mathematical Journal

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The object of the present paper is to study almost pseudo-conformally symmetric Ricci-recurrent manifolds. The existence of almost pseudo-conformally symmetric Ricci-recurrent manifolds has been proved by an explicit example. Some geometric properties have been studied. Among others we prove that in such a manifold the vector field $ρ$ corresponding to the 1-form of recurrence is irrotational and the integral curves of the vector field $ρ$ are geodesic. We also study some global properties...