Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space

Ergin Bayram, Evren Ergün
2016 Celal Bayar Universitesi Fen Bilimleri Dergisi  
In the present paper, we find a surface family possessing the natural lift of a given timelike curve as an asymptotic curve in Minkowski 3-space. We express necessary and sufficient conditions for a given curve such that its natural lift is an asymptotic curve on any member of the surface family. Finally, we illustrate the method with some examples.
doi:10.18466/cbujos.12114 fatcat:2tufrsrl7bf3vgojmbkskkzeni