Displaying similar documents to “On homogeneous conformally symmetric pseudo-Riemannian manifolds”

On invariant operations on pseudo-Riemannian manifolds

Jan Slovák (1992)

Commentationes Mathematicae Universitatis Carolinae

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Invariant polynomial operators on Riemannian manifolds are well understood and the knowledge of full lists of them becomes an effective tool in Riemannian geometry, [Atiyah, Bott, Patodi, 73] is a very good example. The present short paper is in fact a continuation of [Slovák, 92] where the classification problem is reconsidered under very mild assumptions and still complete classification results are derived even in some non-linear situations. Therefore, we neither repeat the detailed...

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.