We investigate semi-Riemannian manifolds with pseudosymmetric Weyl curvature tensor satisfying some additional condition imposed on their curvature tensor. Among other things we prove that the so-called Roter type equation holds on such manifolds. We present applications of our results to hypersurfaces in semi-Riemannian space forms, as well as to 4-dimensional warped products.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-2-1,
author = {Ryszard Deszcz and Ma\l gorzata G\l ogowska and Hideko Hashiguchi and Marian Hotlo\'s and Makoto Yawata},
title = {On semi-Riemannian manifolds satisfying some conformally invariant curvature condition},
journal = {Colloquium Mathematicae},
volume = {131},
year = {2013},
pages = {149-170},
zbl = {1283.53019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-2-1}
}
Ryszard Deszcz; Małgorzata Głogowska; Hideko Hashiguchi; Marian Hotloś; Makoto Yawata. On semi-Riemannian manifolds satisfying some conformally invariant curvature condition. Colloquium Mathematicae, Tome 131 (2013) pp. 149-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm131-2-1/