It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-3,
author = {Zbigniew Olszak},
title = {On the existence of pseudosymmetric K\"ahler manifolds},
journal = {Colloquium Mathematicae},
volume = {96},
year = {2003},
pages = {185-189},
zbl = {1045.53020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-3}
}
Zbigniew Olszak. On the existence of pseudosymmetric Kähler manifolds. Colloquium Mathematicae, Tome 96 (2003) pp. 185-189. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-3/