| Volume 6, Number 3, 2016, Pages 699-719 DOI：10.11948/2016046 |
| Pseudosymmetric Lightlike Hypersurfaces in Indefinite Sasakian Space Forms |
| Sema Kazan,Bayram \d{S}ahin |
| Keywords:Pseudosymmetric lightlike hypersurface, pseudoparallel lightlike hypersurface, indefinite Sasakian space form, Killing horizon, conformal Killing horizon. |
| Abstract: |
| We study pseudosymmetric lightlike hypersurfaces of an indefinite Sasakian space form, tangent to the structure vector field. We obtain sufficient conditions for a lightlike hypersurface to be pseudosymmetric, pseudoparallel and Ricci-pseudosymmetric in an indefinite Sasakian space form. We also find certain conditions for a pseudosymmetric lightlike hypersurface of an indefinite Sasakian space form to be totally geodesic and check the effect of Weyl projective pseudosymmetry conditions on the geometry of a lightlike hypersurface of an indefinite Sasakian space form. Moreover we give some physical interpretations of pseudo-symmetry conditions. |
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