Using the one-to-one correspondence between Kähler-Norden and holomorphic Riemannian metrics, important relations between various Riemannian invariants of manifolds endowed with such metrics were established in my previous paper [19]. In the presented paper, we prove that there is a strict relation between the holomorphic Weyl and Bochner conformal curvature tensors and similarly their covariant derivatives are strictly related. Especially, we find necessary and sufficient conditions for the holomorphic Weyl conformal curvature tensor of a Kähler-Norden manifold to be holomorphically recurrent.
@article{bwmeta1.element.doi-10_2478_BF02479206,
author = {Karina Olszak},
title = {On the bochner conformal curvature of K\"ahler-Norden manifolds},
journal = {Open Mathematics},
volume = {3},
year = {2005},
pages = {309-317},
zbl = {1119.53024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02479206}
}
Karina Olszak. On the bochner conformal curvature of Kähler-Norden manifolds. Open Mathematics, Tome 3 (2005) pp. 309-317. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02479206/
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