Title of article :
Lightlike hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection
Author/Authors :
YASAR, EROL Mugla University - Ula Vocational High School, Turkey , COKEN, A. CEYLAN Siileyman Demirel University - Department of Mathematics, Turkey , YUCESAN, AHMET Siileyman Demirel University - Department of Mathematics, Turkey
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
Journal title :
Kuwait Journal of Science
Journal title :
Kuwait Journal of Science
