On semi-Riemannian submanifolds of a semi-Riemannian manifold with a semi-symmetric metric connection


Yuecesan A.

KUWAIT JOURNAL OF SCIENCE & ENGINEERING, cilt.35, ss.53-68, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 35
  • Basım Tarihi: 2008
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE & ENGINEERING
  • Sayfa Sayıları: ss.53-68

Özet

We obtain the fundamental equations of a semi-Riemannian submanifold of a semi-Riemannian manifold with a semi-symmetric metric connection and study some consequences of these equations. Then, we show that a totally umbilical semi-Riemannian submanifold of a conformally flat semi-Riemannian manifold with a semi-symmetric metric connection is conformally flat.