On Riemann and Weyl Compatible Tensors

Ryszard Deszcz; Małgorzata Głogowska; Jan Jełowicki; Miroslava Petrović-Torgašev; Georges Zafindratafa

Displaying similar documents to “On Riemann and Weyl Compatible Tensors”

On the equivalence of Ricci-semisymmetry and semisymmetry

Kadri Arslan, Yunus Çelik, Ryszard Deszcz, Ridvan Ezentaş (1998)

Colloquium Mathematicae

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On some generalized Einstein metric conditions.

Deszcz, R. (1996)

Publications de l'Institut Mathématique. Nouvelle Série

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On semi-Riemannian manifolds satisfying some conformally invariant curvature condition

Ryszard Deszcz, Małgorzata Głogowska, Hideko Hashiguchi, Marian Hotloś, Makoto Yawata (2013)

Colloquium Mathematicae

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We investigate semi-Riemannian manifolds with pseudosymmetric Weyl curvature tensor satisfying some additional condition imposed on their curvature tensor. Among other things we prove that the so-called Roter type equation holds on such manifolds. We present applications of our results to hypersurfaces in semi-Riemannian space forms, as well as to 4-dimensional warped products.

On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor

Filip Defever, Ryszard Deszcz (1993)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry

Ryszard Deszcz, Marian Hotloś, Zerrin Şentürk (1999)

Colloquium Mathematicae

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On some generalisation of recurrent manifolds.

Ewert-Krzemieniewski, Stanisław (1993)

Mathematica Pannonica

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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...

Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds

J. Deprez, R. Deszcz, L. Verstraelen (1988)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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