Basil J. Papantoniou
Contact manifolds, harmonic curvature tensor and $(k,\mu )$-nullity distribution

Comment.Math.Univ.Carolinae 34,2 (1993) 323-334.

Abstract:In this paper we give first a classification of contact Riemannian manifolds with harmonic curvature tensor under the condition that the characteristic vector field $\xi $ belongs to the $(k,\mu )$-nullity distribution. Next it is shown that the dimension of the $(k,\mu )$-nullity distribution is equal to one and therefore is spanned by the characteristic vector field $\xi $.

Keywords: contact Riemannian manifold, harmonic curvature, $D$-homothetic deformation
AMS Subject Classification: 53C05, 53C20, 53C21

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