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

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YÜCESAN A., YAŞAR E.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.47, no.5, pp.1089-1103, 2010 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 47 Issue: 5
• Publication Date: 2010
• Doi Number: 10.4134/bkms.2010.47.5.1089
• Journal Name: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1089-1103
• Süleyman Demirel University Affiliated: Yes

Abstract

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.