On the AC-contact Bochner curvature tensor field on almost cosymplectic manifolds.
Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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González-Dávila, J.C., Vanhecke, Lieven (1997)
Publications de l'Institut Mathématique. Nouvelle Série
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Adara M. Blaga (2011)
Czechoslovak Mathematical Journal
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Identities for the curvature tensor of the Levi-Cività connection on an almost para-cosymplectic manifold are proved. Elements of harmonic theory for almost product structures are given and a Bochner-type formula for the leaves of the canonical foliation is established.
Andrzej Derdzinski (1980)
Mathematische Zeitschrift
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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 .
Oguro, Takashi (1998)
International Journal of Mathematics and Mathematical Sciences
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Binh, T.Q., Tamássy, L., De, U.C., Tarafdar, M. (2002)
Mathematica Pannonica
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Zbigniew Olszak (1989)
Colloquium Mathematicae
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J. Cheeger, T.H. Colding (1995)
Geometric and functional analysis
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Tshikunguila Tshikuna-Matamba (2005)
Extracta Mathematicae
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It is known that L. Vanhecke, among other geometers, has studied curvature properties both on almost Hermitian and almost contact metric manifolds.
The purpose of this paper is to interrelate these properties within the theory of almost contact metric submersions. So, we examine the following problem: