Ruled Surfaces with Timelike Rulings (Vol 147, Pg 241, 2004)

Abstract

In this article, a new type of ruled surfaces in a Lorentz 3-space IR13 is obtained by a strictly connected timelike oriented line moving with Frenet's frame along a spacelike curve. These surfaces are classified into timelike and spacelike surfaces. The well-known theorems due to Bonnet and Chasles in the 3-dimensional Euclidean space are proved for a timelike ruled surface.