Null Cartan Helices in Lorentzian 3-Space: An Approximation

Zehra Özdemir

doi:10.35193/bseufbd.598439

Null Cartan Helices in Lorentzian 3-Space: An Approximation

Öz

In this work, we investigate the null Cartan helices in Lorentzian 3-space. We derive the helices with the constant timelike, spacelike and lightlike Killing axis in Lorentzian 3-space. Then, we calculate the Bishop curvatures of the null Cartan helix and obtain the explicit parametric equations of these curves by using the Bishop curvatures. Finally, we present various related examples and draw their images using the Mathematica.

Anahtar Kelimeler

Minkowski space,Lightlike curves and surfaces,Cartan curvatures,Frame fields.

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Zehra Özdemir ^*
0000-0001-9750-507X
Türkiye

Yayımlanma Tarihi

26 Aralık 2019

Gönderilme Tarihi

30 Temmuz 2019

Kabul Tarihi

30 Ekim 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 6 Sayı: 2

DOI

https://doi.org/10.35193/bseufbd.598439

IZ

https://izlik.org/JA86NZ87RM

Kaynak Göster

RIS / Bibtex

APA

Özdemir, Z. (2019). Null Cartan Helices in Lorentzian 3-Space: An Approximation. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 6(2), 369-383. https://doi.org/10.35193/bseufbd.598439

AMA

1.Özdemir Z. Null Cartan Helices in Lorentzian 3-Space: An Approximation. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2019;6(2):369-383. doi:10.35193/bseufbd.598439

Chicago

Özdemir, Zehra. 2019. “Null Cartan Helices in Lorentzian 3-Space: An Approximation”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 6 (2): 369-83. https://doi.org/10.35193/bseufbd.598439.

EndNote

Özdemir Z (01 Aralık 2019) Null Cartan Helices in Lorentzian 3-Space: An Approximation. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 6 2 369–383.

IEEE

[1]Z. Özdemir, “Null Cartan Helices in Lorentzian 3-Space: An Approximation”, Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, c. 6, sy 2, ss. 369–383, Ara. 2019, doi: 10.35193/bseufbd.598439.

ISNAD

Özdemir, Zehra. “Null Cartan Helices in Lorentzian 3-Space: An Approximation”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 6/2 (01 Aralık 2019): 369-383. https://doi.org/10.35193/bseufbd.598439.

JAMA

1.Özdemir Z. Null Cartan Helices in Lorentzian 3-Space: An Approximation. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2019;6:369–383.

MLA

Özdemir, Zehra. “Null Cartan Helices in Lorentzian 3-Space: An Approximation”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, c. 6, sy 2, Aralık 2019, ss. 369-83, doi:10.35193/bseufbd.598439.

Vancouver

1.Zehra Özdemir. Null Cartan Helices in Lorentzian 3-Space: An Approximation. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 01 Aralık 2019;6(2):369-83. doi:10.35193/bseufbd.598439

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