ON INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.34, ss.177-185, 2009 (SCI-Expanded)
- 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.