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http://dx.doi.org/10.4134/CKMS.2012.27.4.781

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

Yucesan, Ahmet (Department of Mathematics Suleyman Demirel University)
Yasar, Erol (Departmet of Mathematics Mersin University)

Publication Information

Communications of the Korean Mathematical Society / v.27, no.4, 2012 , pp. 781-793 More about this Journal

Abstract

We study some properties of a semi-Riemannian submanifold of a semi-Riemannian manifold with a semi-symmetric non-metric connection. Then, we prove that the Ricci tensor of a semi-Riemannian submanifold of a semi-Riemannian space form admitting a semi-symmetric non-metric connection is symmetric but is not parallel. Last, we give the conditions under which a totally umbilical semi-Riemannian submanifold with a semi-symmetric non-metric connection is projectively flat.

Keywords

semi-symmetric non-metric connection; Levi-Civita connection; semi-Riemannian submanifold; Ricci tensor; projectively flat;

Citations & Related Records

Reference

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