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

Ergin Bayram [1] , Evren Ergün [2]

186 583

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

 

Primary Language EN
Subjects
Journal Section Articles
Authors

Author: Ergin Bayram

Author: Evren Ergün

Bibtex @ { cbayarfbe254865, journal = {Celal Bayar University Journal of Science}, issn = {1305-130X}, eissn = {1305-1385}, address = {Celal Bayar University}, year = {2016}, volume = {12}, pages = {0 - }, doi = {10.18466/cbujos.12114}, title = {Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space}, key = {cite}, author = {Bayram, Ergin and Ergün, Evren} }
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), . Retrieved from http://dergipark.gov.tr/cbayarfbe/issue/23915/254865
MLA Bayram, E , Ergün, E . "Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space". Celal Bayar University Journal of Science 12 (2016): <http://dergipark.gov.tr/cbayarfbe/issue/23915/254865>
Chicago Bayram, E , Ergün, E . "Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space". Celal Bayar University Journal of Science 12 (2016):
RIS TY - JOUR T1 - Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space AU - Ergin Bayram , Evren Ergün Y1 - 2016 PY - 2016 N1 - DO - T2 - Celal Bayar University Journal of Science JF - Journal JO - JOR SP - 0 EP - VL - 12 IS - 2 SN - 1305-130X-1305-1385 M3 - UR - Y2 - 2019 ER -
EndNote %0 Celal Bayar University Journal of Science Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space %A Ergin Bayram , Evren Ergün %T Surface Family with a Common Natural Asymptotic Lift of a Timelike Curve in Minkowski 3-space %D 2016 %J Celal Bayar University Journal of Science %P 1305-130X-1305-1385 %V 12 %N 2 %R %U
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 2016): 0-.