Pedal Curves of Non-Lightlike Curves in Minkowski 3-Space

Abstract

We study the notions of pedal curves, contrapedal curves and B-Gauss maps of non-lightlike regular curves in Minkowski 3-space. Then we establish the relationships among the evolutes, the pedal and contrapedal curves. Moreover, we also investigate the singularities of these objects. Finally, we show some examples to comprehend the characteristics of the pedal and contrapedal curves in Minkowski 3-space.

Keywords

• pedal curve
• singularity
• <b><i>B</i></b>-Gauss map
• Minkowski 3-space