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 $.
@article{118584,
author = {Basil J. Papantoniou},
title = {Contact manifolds, harmonic curvature tensor and $(k,\mu )$-nullity distribution},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {34},
year = {1993},
pages = {323-334},
zbl = {0782.53024},
mrnumber = {1241740},
language = {en},
url = {http://dml.mathdoc.fr/item/118584}
}
Papantoniou, Basil J. Contact manifolds, harmonic curvature tensor and $(k,\mu )$-nullity distribution. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 323-334. http://gdmltest.u-ga.fr/item/118584/
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