On pseudosymmetric para-Kähler manifolds
Filip Defever, Leopold Verstraelen, Ryszard Deszcz (1998)
Colloquium Mathematicae
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Displaying similar documents to “On pseudosymmetric para-Kählerian manifolds.”
On pseudosymmetric para-Kähler manifolds
On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry
Ryszard Deszcz, Marian Hotloś, Zerrin Şentürk (1999)
Colloquium Mathematicae
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On an extended contact Bochner curvature tensor on contact metric manifolds
Hiroshi Endo (1993)
Colloquium Mathematicae
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On Sasakian manifolds, Matsumoto and Chūman [3] defined a contact Bochner curvature tensor (see also Yano [7]) which is invariant under D-homothetic deformations (for D-homothetic deformations, see Tanno [5]). On the other hand, Tricerri and Vanhecke [6] defined a general Bochner curvature tensor with conformal invariance on almost Hermitian manifolds. In this paper we define an extended contact Bochner curvature tensor which is invariant under D-homothetic deformations of contact metric...
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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.
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.
Curvature properties of certain compact pseudosymmetric manifolds
Ryszard Deszcz (1993)
Colloquium Mathematicae
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On K-contact Riemannian manifolds with vanishing E-contact Bochner curvature tensor
Hiroshi Endo (1991)
Colloquium Mathematicae
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For Sasakian manifolds, Matsumoto and Chūman [6] defined the contact Bochner curvature tensor (see also Yano [9]). Hasegawa and Nakane [4] and Ikawa and Kon [5] have studied Sasakian manifolds with vanishing contact Bochner curvature tensor. Such manifolds were studied in the theory of submanifolds by Yano ([9] and [10]). In this paper we define an extended contact Bochner curvature tensor in K-contact Riemannian manifolds and call it the E-contact Bochner curvature tensor. Then we show...