PSEUDOSYMMETRIC LIGHTLIKE HYPERSURFACES IN INDEFINITE SASAKIAN SPACE FORMS

KAZAN S., Sahin B.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, cilt.6, sa.3, ss.699-719, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.11948/2016046
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.699-719
  • İnönü Üniversitesi Adresli: Evet

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