Geometry of the line space associated to a given dual ruled surface

Abstract

As a continuation to our results in [1], we study the dual ruled surface defined on the set of dual numbers. The idea of the dual part are defined similar to quaternion space. The dual part of this represents a ruled dual submanifold. The geometric properties of their dual parts are investigated. Some examples are given and plotted.

Keywords

• line space
• dual space
• dual sphere
• ruled surfaces