HYPERSURFACES OF LORENTZIAN PARA-SASAKIAN MANIFOLDS

PERKTAS S. Y., KILIÇ E., KELEŞ S.

MATHEMATICA SCANDINAVICA, cilt.109, sa.1, ss.5-21, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 109 Sayı: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.7146/math.scand.a-15174
  • Dergi Adı: MATHEMATICA SCANDINAVICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5-21
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper we study the invariant and noninvariant hypersurfaces of (1, 1, 1) almost contact manifolds, Lorentzian almost paracontact manifolds and Lorentzian para-Sasakian manifolds, respectively. We show that a noninvariant hypersurface of an ( I, 1, 1) almost contact manifold admits an almost product structure. We investigate hypersurfaces of affinely cosymplectic and normal (1, 1, 1) almost contact manifolds. It is proved that a noninvariant hypersurface of a Lorentzian almost paracontact manifold is an almost product metric manifold. Some necessary and sufficient conditions have been given for a non invariant hypersurface of a Lorentzian para-Sasakian manifold to be locally product manifold. We establish a Lorentzian para-Sasakian structure for an invariant hypersurface of a Lorentzian para-Sasakian manifold. Finally we give some examples for invariant and noninvariant hypersurfaces of a Lorentzian para-Sasakian manifold.