Pseudosymmetric lightlike hypersurfaces

KAZAN S. , Sahin B.

TURKISH JOURNAL OF MATHEMATICS, cilt.38, ss.1050-1070, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3906/mat-1311-19
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1050-1070

Özet

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.