- Celal Bayar Üniversitesi Fen Bilimleri Dergisi
- Vol: 12 Issue: 2 - CBUJOS, 2016, Vol: 12, Issue: 2
- Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space
Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space
Authors : Ergin Bayram, Evren Ergün
Pages : 0-0
Doi:10.18466/cbujos.12114
View : 12 | Download : 3
Publication Date : 2016-08-29
Article Type : Other
Abstract :Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space 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. 3-Boyutlu Minkowski Uzayındaki Bir Timelike Eğrinin Tabii Liftini Asimptotik Eğri Kabul Eden Yüzey Ailesi Bu çalışmada, 3-boyutlu Minkowski uzayında verilen bir timelike eğrinin tabii liftini asimptotik eğri kabul eden yüzey ailesi elde edildi. Verilen eğrinin tabii liftinin yüzey üzerinde asimptotik eğri olması için gerekli ve yeterli koşullar verildi. Son olarak, bazı örnekler ile sunulan metod desteklendiKeywords :