LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION


YÜCESAN A. , YAŞAR E.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.47, ss.1089-1103, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 47 Konu: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.4134/bkms.2010.47.5.1089
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.1089-1103

Özet

In this paper, we study lightlike submanifolds of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. We obtain a necessary and a sufficient condition for integrability of the screen distribution. Then we give the conditions under which the Ricci tensor of a lightlike submanifold with a semi-symmetric non-metric connection is symmetric. Finally, we show that the Ricci tensor of a lightlike submanifold of semi-Riemannian space form is not parallel with respect to the semi-symmetric non-metric connection.