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Volume :34 Issue : 2 2007      Add To Cart                                                                    Download

Lightlike hypersurfaces of a semi-Riemannian manifold with

Auther : EROL YASAR, A. CEYLAN COKEN AND AHMET YUCESAN

1Ula Vocational High School, Muًla University, Ula, 48600 Muًla, Turkey. e-mail: yerol@mu.edu.tr

2Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey.  e-mail: ceylan@fef.sdu.edu.tr

3Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey. e-mail: yucesan@fef.sdu.edu.tr

 

ABSTRACT

In this study, we show that the connection induced on a lightlike hypersurface of a semi-Riemannian manifold with a semi-symmetric metric connection is semi-symmetric but not a metric connection and obtain the equations of Gauss and Codazzi. Then, we study conditions under which the Ricci tensor is symmetric and parallel.

 

Keywords:  Gauss and Codazzi equations, Ricci tensor, Levi-Civita connection, Semi-symmetric connection. Lightlike hypersurface.

 

MSC 2000: 53B15, 53B30, 53C05, 53C50

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