On a class of contact Riemannian manifolds.
Cho, Jong Taek (2000)
International Journal of Mathematics and Mathematical Sciences
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Cho, Jong Taek (2000)
International Journal of Mathematics and Mathematical Sciences
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Sinha, B.B., Sharma, Ramesh (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Singh, Hukum, Khan, Quddus (1999)
Novi Sad Journal of Mathematics
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Konstantin Athanassopoulos (2009)
Colloquium Mathematicae
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We present an explicit formula for the Ruelle rotation of a nonsingular Killing vector field of a closed, oriented, Riemannian 3-manifold, with respect to Riemannian volume.
Khan, Quddus (2006)
Novi Sad Journal of Mathematics
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Grigorios Tsagas (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Munier, Julien (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Maria Banaszczyk (2015-11-17T11:37:01Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Debasish Tarafdar, U. C. De (1993)
Extracta Mathematicae
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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...
Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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N. Bokan (1973)
Matematički Vesnik
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Letizia Brunetti, Anna Maria Pastore (2013)
Publications de l'Institut Mathématique
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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.