On Riemann and Weyl Compatible Tensors
Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa (2013)
Publications de l'Institut Mathématique
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Displaying similar documents to “On the equivalence of Ricci-semisymmetry and semisymmetry”
On Riemann and Weyl Compatible Tensors
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 Curvature Characterizations of Some Hypersurfaces in Spaces of Constant Curvature
Katarzyna Sawicz (2006)
Publications de l'Institut Mathématique
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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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On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry
Ryszard Deszcz, Marian Hotloś, Zerrin Şentürk (1999)
Colloquium Mathematicae
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Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds
M. S. Santos (2017)
Commentationes Mathematicae Universitatis Carolinae
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In this manuscript we provide new extensions for the Myers theorem in weighted Riemannian and Lorentzian manifolds. As application we obtain a closure theorem for spatial hypersurfaces immersed in some time-like manifolds.
Curvature properties of Cartan hypersurfaces
Ryszard Deszcz, Sahnur Yaprak (1994)
Colloquium Mathematicae
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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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Quasi-Einstein hypersurfaces in semi-Riemannian space forms
Ryszard Deszcz, Marian Hotloś, Zerrin Sentürk (2001)
Colloquium Mathematicae
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We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.