On semi-Riemannian manifolds satisfying some conformally invariant curvature condition

Ryszard Deszcz, et al. "On semi-Riemannian manifolds satisfying some conformally invariant curvature condition." Colloquium Mathematicae 131.2 (2013): 149-170. <http://eudml.org/doc/284280>.

@article{RyszardDeszcz2013,
abstract = {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.},
author = {Ryszard Deszcz, Małgorzata Głogowska, Hideko Hashiguchi, Marian Hotloś, Makoto Yawata},
journal = {Colloquium Mathematicae},
keywords = {generalized curvature tensor; warped product; quasi-Einstein manifold; pseudo-symmetric Weyl tensor; Roter type equation},
language = {eng},
number = {2},
pages = {149-170},
title = {On semi-Riemannian manifolds satisfying some conformally invariant curvature condition},
url = {http://eudml.org/doc/284280},
volume = {131},
year = {2013},
}

TY - JOUR
AU - Ryszard Deszcz
AU - Małgorzata Głogowska
AU - Hideko Hashiguchi
AU - Marian Hotloś
AU - Makoto Yawata
TI - On semi-Riemannian manifolds satisfying some conformally invariant curvature condition
JO - Colloquium Mathematicae
PY - 2013
VL - 131
IS - 2
SP - 149
EP - 170
AB - 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.
LA - eng
KW - generalized curvature tensor; warped product; quasi-Einstein manifold; pseudo-symmetric Weyl tensor; Roter type equation
UR - http://eudml.org/doc/284280
ER -