Kragujevac J. Math. 27 (2005) 163-174.

ON THE B-SCROLLS IN THE 3-DIMENSIONAL LORENTZIAN SPACE L3

Handan Balgetir, Mehmet Bektas, Mahmut Ergüt

Department of Mathematics, Firat University,
23119 Elaz g, TÜRKIYE
(e-mail: hbalgetir@firat.edu.tr, mbektas@firat.edu.tr, mergut@firat.edu.tr)

(Received June 25, 2004)

Abstract. The purpose of this paper is introduce nondegenerate ruled surfaces in L3 which are said to be B-scrolls. We defined the central point, the curve of striction, pseudo-orthogonal trajectory in a B-scroll and obtained some theorems related to these structures in the 3-dimensional Lorentzian space L3. We gave also the distribution parameter of a B-scroll and some theorems in L3.