Contact manifolds, harmonic curvature tensor and -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 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 .