Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold
TURKISH JOURNAL OF MATHEMATICS, vol.39, no.4, pp.453-466, 2015 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 39 Issue: 4
- Publication Date: 2015
- Doi Number: 10.3906/mat-1503-56
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.453-466
- Istanbul University Affiliated: Yes
Abstract
We introduce warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold. We give a necessary and sufficient condition for a skew semi-invariant submanifold of order 1 to be a locally warped product. We also establish an inequality between the warping function and the squared norm of the second fundamental form for such submanifolds. The equality case is also discussed.