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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Displaying similar documents to “On some generalisation of recurrent manifolds.”
On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor
On some generalized Einstein metric conditions.
Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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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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On a class of Ricci-recurrent manifolds.
Ewert-Krzemieniewski, Stanislaw (2003)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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From the Eisenhart problem to Ricci solitons in -Kenmotsu manifolds.
Călin, Constantin, Crasmareanu, Mircea (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Notes on extended recurrent and extended quasi-recurrent manifolds.
Ewert-Krzemieniewski, Stanisław (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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On Bochner flat para-Kählerian manifolds
Dorota Łuczyszyn (2005)
Open Mathematics
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Let B be the Bochner curvature tensor of a para-Kählerian manifold. It is proved that if the manifold is Bochner parallel (∇ B = 0), then it is Bochner flat (B = 0) or locally symmetric (∇ R = 0). Moreover, we define the notion of tha paraholomorphic pseudosymmetry of a para-Kählerian manifold. We find necessary and sufficient conditions for a Bochner flat para-Kählerian manifold to be paraholomorphically pseudosymmetric. Especially, in the case when the Ricci operator is diagonalizable,...
On a generalized class of recurrent manifolds
Absos Ali Shaikh, Ananta Patra (2010)
Archivum Mathematicum
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The object of the present paper is to introduce a non-flat Riemannian manifold called hyper-generalized recurrent manifolds and study its various geometric properties along with the existence of a proper example.
On generalized M-projectively recurrent manifolds
Uday Chand De, Prajjwal Pal (2014)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized M projectively recurrent manifolds have been studied under certain curvature conditions. An application of such a manifold in the theory of relativity has also been shown. Finally, we give an example of a generalized M-projectively recurrent manifold.