Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold
TURKISH JOURNAL OF MATHEMATICS, cilt.39, sa.4, ss.453-466, 2015 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 4
- Basım Tarihi: 2015
- Doi Numarası: 10.3906/mat-1503-56
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.453-466
- İstanbul Üniversitesi Adresli: Evet
Özet
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.