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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

Ergin Bayram , Evren Ergün

https://doi.org/10.18466/cbujos.12114
https://izlik.org/JA82GH73KY

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

 

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Details

Primary Language EN
Authors

Ergin Bayram

Evren Ergün This is me

Publication Date August 29, 2016
DOI https://doi.org/10.18466/cbujos.12114
IZ https://izlik.org/JA82GH73KY
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 University Journal of Science, 12(2). https://doi.org/10.18466/cbujos.12114
AMA 1.Bayram E, Ergün E. Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. CBUJOS. 2016;12(2). doi:10.18466/cbujos.12114
Chicago Bayram, Ergin, and Evren Ergün. 2016. “Surface Family With a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-Space”. Celal Bayar University Journal of Science 12 (2). 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 University Journal of Science 12 2
IEEE [1]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, Aug. 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 University Journal of Science 12/2 (August 1, 2016). https://doi.org/10.18466/cbujos.12114.
JAMA 1.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 University Journal of Science, vol. 12, no. 2, Aug. 2016, doi:10.18466/cbujos.12114.
Vancouver 1.Ergin Bayram, Evren Ergün. Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. CBUJOS. 2016 Aug. 1;12(2). doi:10.18466/cbujos.12114

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