IJPAM: Volume 23, No. 3 (2005)

TOTALLY UMBILICAL LIGHTLIKE HYPERSURFACES IN
SEMI-RIEMANNIAN MANIFOLD WITH SEMI-SYMMETRIC
METRIC CONNECTION

Erol Yasar$^1$, A. Ceylan Çöken$^2$, Ahmet Yücesan$^3$
$^1$Ula Vocational High School
Mugla University
Ula, Mugla, 33411, TURKEY
e-mail: yerol@mu.edu.tr
Department of Mathematics
Suleyman Demirel University
Isparta, 32260, TURKEY
$^2$e-mail: ceylan@fef.sdu.edu.tr
$^3$e-mail: yucesan@fef.sdu.edu.tr


Abstract.In this paper, we study totally umbilical lightlike hypersurfaces of a semi-Riemannian manifold admitting semi-symmetric metric connection. We give the equations of Gauss and Codazzi. Then we obtain some results on Ricci tensor of a totally umbilical lightlike hypersurface with respect to semi-symmetric connection to be symmetric.

Received: July 21, 2005

AMS Subject Classification: 53B15, 53B30, 53C05, 53C50

Key Words and Phrases: totally umbilical lightlike hypersurface, semi-symmetric connection, equations of Gauss and Codazzi, Levi-Civita connection, Ricci tensor

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 23
Issue: 3