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

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Atıf İçin Kopyala

Yuecesan A.

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

• 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.