On the Extended Null Scrolls in Minkowski 3-space

Mahmut Ergut, Handan Balgetir Oztekin, Alper Osman Ogrenmis

Abstract

In this paper, we defined an extended null scroll in Minkowski 3-space R31 which is obtained by a null line moving with (proper) null frame along a null curve. We proved the well-known theorem due to Bonnet in the 3-dimensional Euclidean space for an extended null scroll. We calculated the geodesic and normal curvature of a curve on the extended null scroll.