On a type of P-Sasakian manifold.
Debasish Tarafdar, U. C. De (1993)
Extracta Mathematicae
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Debasish Tarafdar, U. C. De (1993)
Extracta Mathematicae
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Khan, Quddus (2006)
Novi Sad Journal of Mathematics
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Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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Mileva Prvanović (1993)
Matematički Vesnik
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Tripathi, Mukut Mani, Kılıç, Erol, Perktaş, Selcen Yüksel, Keleş, Sadık (2010)
International Journal of Mathematics and Mathematical Sciences
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Tripathi, Mukut Mani (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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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...
Cho, Jong Taek (2000)
International Journal of Mathematics and Mathematical Sciences
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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,...
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.
Das, Lovejoy (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Letizia Brunetti, Anna Maria Pastore (2013)
Publications de l'Institut Mathématique
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Konopka, Czesław (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa (2013)
Publications de l'Institut Mathématique
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