IJPAM: Volume 16, No. 2 (2004)

A NOTE ON SCALAR NORMAL CURVATURE OF
$2$-DIMENSIONAL TIME-LIKE RULED SURFACES

M. Tosun$^1$, M.A. Gungor$^2$, S. Ersoy$^3$
$^{1,2,3}$Department of Mathematics
Faculty of Arts and Science
Sakarya University
Sakarya, 54187, TURKEY
$^1$e-mail: tosun@sakarya.edu.tr
$^2$e-mail: agungor@sakarya.edu.tr
$^3$e-mail: sersoy@sakarya.edu.tr


Abstract.In $n$-dimensional Euclidean space $E^n$, $M -$index and scalar normal curvature of $2-$dimensional ruled surfaces were studied by C. Thas in [#!dort!#]. In this paper, the theorems related to $M$-index and scalar normal curvature of $2$-dimensional ruled surfaces are given by taking into account $n$-dimensional Minkowski space $R_1^n $ instead of $n$- dimensional Euclidean space $E^n$.

Received: July 23, 2004

AMS Subject Classification: 53A35, 53B30

Key Words and Phrases: Minkowski space, time-like ruled surfaces, $M -$ index

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 16
Issue: 2