Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps

Abstract

In this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of their Gauss maps, especially the generalized 1-type Gauss maps. At the same time, some representative examples are given and their graphs are plotted by the aid of a software programme.

Keywords

• null curve
• null scroll
• Gauss map
• Minkowski space