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, vol.34, no.2A, pp.11-24, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 2A
  • Publication Date: 2007
  • Journal Name: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.11-24
  • Keywords: Gauss and Codazzi equations, Ricci tensor, Levi-Civita connection, semi-symmetric connection, lightlike hypersurface
  • Akdeniz University Affiliated: No

Abstract

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.