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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Filip Defever, Ryszard Deszcz (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Letizia Brunetti, Anna Maria Pastore (2013)
Publications de l'Institut Mathématique
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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...
Manuel de León, Juan C. Marrero (1994)
Extracta Mathematicae
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Debasish Tarafdar, U. C. De (1993)
Extracta Mathematicae
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Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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Kumar, Rakesh, Rani, Rachna, Nagaich, R.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Basil J. Papantoniou (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we give first a classification of contact Riemannian manifolds with harmonic curvature tensor under the condition that the characteristic vector field belongs to the -nullity distribution. Next it is shown that the dimension of the -nullity distribution is equal to one and therefore is spanned by the characteristic vector field .