Geodesic
Quasi-Einstein hypersurfaces in semi-Riemannian space forms
Ryszard Deszcz 1   ; Marian Hotloś 2   ; Zerrin Sentürk 3
1 Department of Mathematics Agricultural University of Wrocław Grunwaldzka 53 50-357 Wrocław, Poland
2 Institute of Mathematics Wrocław University of Technology Wybrzeże Wyspia/nskiego 27 50-370 Wrocław, Poland
3 Department of Mathematics Technical University of Istanbul 80626 Maslak, Istanbul, Turkey
Colloquium Mathematicum, Tome 89 (2001) no. 1, pp. 81-97 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying $R\cdot C=LQ(S,C)$, 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.
DOI : 10.4064/cm89-1-6
Keywords: investigate curvature properties hypersurfaces semi riemannian space form satisfying cdot which curvature condition pseudosymmetry type prove under additional assumptions ambient space hypersurfaces semi euclidean quasi einstein ricci semisymmetric manifolds

Ryszard Deszcz  1   ; Marian Hotloś  2   ; Zerrin Sentürk  3

1 Department of Mathematics Agricultural University of Wrocław Grunwaldzka 53 50-357 Wrocław, Poland
2 Institute of Mathematics Wrocław University of Technology Wybrzeże Wyspia/nskiego 27 50-370 Wrocław, Poland
3 Department of Mathematics Technical University of Istanbul 80626 Maslak, Istanbul, Turkey 
@article{10_4064_cm89_1_6,
     author = {Ryszard Deszcz and Marian Hotlo\'s and Zerrin Sent\"urk},
     title = {Quasi-Einstein hypersurfaces {in
semi-Riemannian} space forms},
     journal = {Colloquium Mathematicum},
     pages = {81--97},
     year = {2001},
     volume = {89},
     number = {1},
     doi = {10.4064/cm89-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm89-1-6/}
}
TY  - JOUR
AU  - Ryszard Deszcz
AU  - Marian Hotloś
AU  - Zerrin Sentürk
TI  - Quasi-Einstein hypersurfaces in
semi-Riemannian space forms
JO  - Colloquium Mathematicum
PY  - 2001
SP  - 81
EP  - 97
VL  - 89
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm89-1-6/
DO  - 10.4064/cm89-1-6
LA  - en
ID  - 10_4064_cm89_1_6
ER  - 
%0 Journal Article
%A Ryszard Deszcz
%A Marian Hotloś
%A Zerrin Sentürk
%T Quasi-Einstein hypersurfaces in
semi-Riemannian space forms
%J Colloquium Mathematicum
%D 2001
%P 81-97
%V 89
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm89-1-6/
%R 10.4064/cm89-1-6
%G en
%F 10_4064_cm89_1_6
Ryszard Deszcz; Marian Hotloś; Zerrin Sentürk. Quasi-Einstein hypersurfaces in
semi-Riemannian space forms. Colloquium Mathematicum, Tome 89 (2001) no. 1, pp. 81-97. doi: 10.4064/cm89-1-6

Cité par Sources :