The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space

摘要

We define the notion of lightcone Gauss maps, lightcone pedal curves and lightcone developables of spacelike curves in Minkowski 3-space and establish the relationships between singularities of these objects and geometric invariants of curves under the action of the Lorentz group.