Lightlike hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection

Yasar E., Coeken A. C., Yuecesan A.

KUWAIT JOURNAL OF SCIENCE & ENGINEERING, cilt.34, sa.2A, ss.11-24, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 2A
  • 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
  • Anahtar Kelimeler: Gauss and Codazzi equations, Ricci tensor, Levi-Civita connection, semi-symmetric connection, lightlike hypersurface
  • Akdeniz Üniversitesi Adresli: Hayır

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.