Quasi-Einstein hypersurfaces in semi-Riemannian space forms

Ryszard Deszcz, Marian Hotloś, and Zerrin Sentürk. "Quasi-Einstein hypersurfaces in semi-Riemannian space forms." Colloquium Mathematicae 89.1 (2001): 81-97. <http://eudml.org/doc/283772>.

@article{RyszardDeszcz2001,
abstract = {We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.},
author = {Ryszard Deszcz, Marian Hotloś, Zerrin Sentürk},
journal = {Colloquium Mathematicae},
keywords = {Ricci- semisymmetric manifold; quasi- Einstein manifold; hypersurface},
language = {eng},
number = {1},
pages = {81-97},
title = {Quasi-Einstein hypersurfaces in semi-Riemannian space forms},
url = {http://eudml.org/doc/283772},
volume = {89},
year = {2001},
}

TY - JOUR
AU - Ryszard Deszcz
AU - Marian Hotloś
AU - Zerrin Sentürk
TI - Quasi-Einstein hypersurfaces in semi-Riemannian space forms
JO - Colloquium Mathematicae
PY - 2001
VL - 89
IS - 1
SP - 81
EP - 97
AB - We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.
LA - eng
KW - Ricci- semisymmetric manifold; quasi- Einstein manifold; hypersurface
UR - http://eudml.org/doc/283772
ER -