ON INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS

ÖZGÜR C., MURATHAN C.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.34, ss.177-185, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34
  • Basım Tarihi: 2009
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.177-185
  • Anahtar Kelimeler: Lorentzian paracontact manifold, Lorentzian para-Sasakian manifold, semiparallel submanifold, 2-semiparallel submanifold
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

We consider semiparallel and 2-semiparallel invariant submanifolds of Lorentzian para-Sasakian manifolds. We show that these submanifolds are totally geodesic. We also consider invariant submanifolds of Lorentzian para-Sasakian manifolds satisfying the conditions Z (X, Y) . alpha = 0 and Z (X, Y) . (del) over bar (alpha) = 0 with tau not equal n(n - 1). these conditions, we prove that the submanifolds are totally geodesic.