Pseudosymmetric lightlike hypersurfaces in indefinite sasakian space forms
Makaleler > Tam Makale · 2016
Yazarlar: Sema Kazan, Bayram ŞAHİN
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2016, cilt 6, ss 699-719
DOI: 10.11948/2016046
Özet
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.