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

Yıl 2016, Cilt: 12 Sayı: 2 - CBUJOS, 2016, Volume 12, Issue 2, 0 - , 29.08.2016

Ergin Bayram , Evren Ergün

https://doi.org/10.18466/cbujos.12114
Cited By: 2

Öz

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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Ayrıntılar

Birincil Dil EN
Bölüm Makaleler
Yazarlar

Ergin Bayram

Evren Ergün Bu kişi benim

Yayımlanma Tarihi 29 Ağustos 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 12 Sayı: 2 - CBUJOS, 2016, Volume 12, Issue 2

Kaynak Göster

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 Bayram E, Ergün E. Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space. CBUJOS. Ağustos 2016;12(2). doi:10.18466/cbujos.12114
Chicago Bayram, Ergin, ve Evren Ergün. “Surface Family With a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-Space”. Celal Bayar University Journal of Science 12, sy. 2 (Ağustos 2016). https://doi.org/10.18466/cbujos.12114.
EndNote Bayram E, Ergün E (01 Ağustos 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 E. Bayram ve E. Ergün, “Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space”, CBUJOS, c. 12, sy. 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 University Journal of Science 12/2 (Ağustos 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 ve Evren Ergün. “Surface Family With a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-Space”. Celal Bayar University Journal of Science, c. 12, sy. 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).

Cited By

Interpolation of Surfaces with Line of Curvature
International Electronic Journal of Geometry
https://doi.org/10.36890/iejg.890585
Surface Family With a Common Natural Asymptotic Lift of a Spacelike Curve with Timelike Binormal in Minkowski 3-Space
Journal of the Institute of Science and Technology
Evren ERGÜN
https://doi.org/10.21597/jist.486275