Lightlike hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection
KUWAIT JOURNAL OF SCIENCE & ENGINEERING, cilt.34, ss.11-24, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34
- Basım Tarihi: 2007
- Dergi Adı: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.11-24
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this study, we show that the connection induced on a lightlike hypersurface of a semi-Riemannian manifold with a semi-symmetric metric connection is semi-symmetric but not a metric connection and obtain the equations of Gauss and Codazzi. Then, we study conditions under which the Ricci tensor is symmetric and parallel.