PSEUDOSYMMETRIC LIGHTLIKE HYPERSURFACES IN INDEFINITE SASAKIAN SPACE FORMS

KAZAN S., Sahin B.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, vol.6, no.3, pp.699-719, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.11948/2016046
  • Journal Name: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.699-719
  • Inonu University Affiliated: Yes

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 hyper surface of an indefinite Sasakian space form. Moreover we give some physical interpretations of pseudo-symmetry conditions.