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


Yasar E., Coeken A. C. , YÜCESAN A.

KUWAIT JOURNAL OF SCIENCE & ENGINEERING, cilt.34, ss.11-24, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 34
  • Basım Tarihi: 2007
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
  • Sayfa Sayıları: ss.11-24

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.