The Lightcone Gauss Map And The Singularity Of A Spacelike Curve In Ads～4 Space

In this paper, we considered the problem of the timelike curves in AdS~4, thenwe define the lightcone Gauss map, and lightcone height function of a spacelike curvein AdS~4 and established the relationships between singularities of these objects andgeometric invariants of curves under the action Lorentz group, and as an applicationsof standard techniques of singularity theory classified singularities of a spacelikecurve in this space.