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

Year 2016, Volume: 12 Issue: 2 - CBUJOS, 2016, Volume 12, Issue 2, 0 - , 29.08.2016
https://doi.org/10.18466/cbujos.12114

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 desteklendi

 

Year 2016, Volume: 12 Issue: 2 - CBUJOS, 2016, Volume 12, Issue 2, 0 - , 29.08.2016
https://doi.org/10.18466/cbujos.12114

Abstract

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Details

Primary Language EN
Journal Section Articles
Authors

Ergin Bayram

Evren Ergün This is me

Publication Date August 29, 2016
Published in Issue Year 2016 Volume: 12 Issue: 2 - CBUJOS, 2016, Volume 12, Issue 2

Cite

APA Bayram, E., & Ergün, E. (2016). Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 12(2). https://doi.org/10.18466/cbujos.12114
AMA Bayram E, Ergün E. Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. CBUJOS. August 2016;12(2). doi:10.18466/cbujos.12114
Chicago Bayram, Ergin, and Evren Ergün. “Surface Family With a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-Space”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 12, no. 2 (August 2016). https://doi.org/10.18466/cbujos.12114.
EndNote Bayram E, Ergün E (August 1, 2016) Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 12 2
IEEE E. Bayram and E. Ergün, “Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space”, CBUJOS, vol. 12, no. 2, 2016, doi: 10.18466/cbujos.12114.
ISNAD Bayram, Ergin - Ergün, Evren. “Surface Family With a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-Space”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 12/2 (August 2016). https://doi.org/10.18466/cbujos.12114.
JAMA Bayram E, Ergün E. Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. CBUJOS. 2016;12. doi:10.18466/cbujos.12114.
MLA Bayram, Ergin and Evren Ergün. “Surface Family With a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-Space”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, vol. 12, no. 2, 2016, doi:10.18466/cbujos.12114.
Vancouver Bayram E, Ergün E. Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. CBUJOS. 2016;12(2).