On semi-Riemannian submanifolds of a semi-Riemannian manifold with a semi-symmetric metric connection
KUWAIT JOURNAL OF SCIENCE & ENGINEERING, cilt.35, ss.53-68, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 35
- Basım Tarihi: 2008
- Dergi Adı: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.53-68
- Süleyman Demirel Üniversitesi Adresli: Hayır
Özet
We obtain the fundamental equations of a semi-Riemannian submanifold of a semi-Riemannian manifold with a semi-symmetric metric connection and study some consequences of these equations. Then, we show that a totally umbilical semi-Riemannian submanifold of a conformally flat semi-Riemannian manifold with a semi-symmetric metric connection is conformally flat.