ON INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, vol.34, pp.177-185, 2009 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 34
- Publication Date: 2009
- Journal Name: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
- Page Numbers: pp.177-185
- Keywords: Lorentzian paracontact manifold, Lorentzian para-Sasakian manifold, semiparallel submanifold, 2-semiparallel submanifold
- Bursa Uludag University Affiliated: Yes
Abstract
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.