Turkish Journal of Mathematics
Abstract
We study lightlike hypersurfaces of a semi-Riemannian manifold satisfying pseudosymmetry conditions. We give sufficient conditions for a lightlike hypersurface to be pseudosymmetric and show that there is a close relationship of the pseudosymmetry condition of a lightlike hypersurface and its integrable screen distribution. We obtain that a pseudosymmetric lightlike hypersurface is a semisymmetric lightlike hypersurface or totally geodesic under certain conditions. Moreover, we give an example of pseudosymmetric lightlike hypersurfaces and investigate pseudoparallel lightlike hypersurfaces. Furthermore, we introduce Ricci-pseudosymmetric lightlike hypersurfaces, obtain characterizations, and give an example for such hypersurfaces.
DOI
10.3906/mat-1311-19
Keywords
Semisymmetric lightlike hypersurface, Ricci-semisymmetric lightlike hypersurface, pseudosymmetric lightlike hypersurface, pseudoparallel lightlike hypersurface
First Page
1050
Last Page
1070
Recommended Citation
KAZAN, SEMA and ŞAHİN, BAYRAM
(2014)
"Pseudosymmetric lightlike hypersurfaces,"
Turkish Journal of Mathematics: Vol. 38:
No.
6, Article 9.
https://doi.org/10.3906/mat-1311-19
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss6/9
