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

Ergin Bayram; Evren Ergün

doi:10.18466/cbujos.12114

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

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

Keywords

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Details

Primary Language

EN

Subjects

-

Journal Section

-

Authors

Ergin Bayram

Evren Ergün This is me

Publication Date

August 29, 2016

Submission Date

August 29, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 12 Number: 2

DOI

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

IZ

https://izlik.org/JA82GH73KY

Cite

RIS / Bibtex

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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