Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection


Yasar E., Coken A. C. , YÜCESAN A.

MATHEMATICA SCANDINAVICA, cilt.102, ss.253-264, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 102 Konu: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.7146/math.scand.a-15061
  • Dergi Adı: MATHEMATICA SCANDINAVICA
  • Sayfa Sayıları: ss.253-264

Özet

In this paper, We Study lightlike hypersurfaces of a semi-Riemannian manifold admitting a semisymmetric non-metric connection. We give the equations of Gauss and Codazzi. Then, we obtain conditions under which the Ricci tensor of a lightlike hypersurface is symmetric given that the ambient space is equipped with a semi-symmetric non-metric connection.