Displaying similar documents to “A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors”

Affine connections on almost para-cosymplectic manifolds

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.

Contact manifolds, harmonic curvature tensor and ( k , μ ) -nullity distribution

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 ξ belongs to the ( k , μ ) -nullity distribution. Next it is shown that the dimension of the ( k , μ ) -nullity distribution is equal to one and therefore is spanned by the characteristic vector field ξ .