Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space

Abstract

In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.

Keywords

• singularities
• spacelike curve
• pedal curve
• height function
• contact
• 53a35
• 58k05