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