Some results on trans-Sasakian manifolds
Rajendra Prasad, Vibha Srivastava (2013)
Matematički Vesnik
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Rajendra Prasad, Vibha Srivastava (2013)
Matematički Vesnik
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Dwivedi, Mohit Kumar, Kim, Jeong-Sik (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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H. G. Nagaraja (2011)
Matematički Vesnik
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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.
Ewert-Krzemieniewski, Stanisław (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Călin, Constantin, Crasmareanu, Mircea (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Khan, Quddus (2006)
Novi Sad Journal of Mathematics
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Das, Lovejoy (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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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...
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.