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

Yuecesan, Ahmet

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

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Yuecesan A.

KUWAIT JOURNAL OF SCIENCE & ENGINEERING, vol.35, pp.53-68, 2008 (Journal Indexed in SCI)

Publication Type: Article / Article
Volume: 35
Publication Date: 2008
Title of Journal : KUWAIT JOURNAL OF SCIENCE & ENGINEERING
Page Numbers: pp.53-68

Abstract

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.