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

Abstract

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.

Keywords

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

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

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

Publication Date

December 26, 2019

Submission Date

July 30, 2019

Acceptance Date

October 30, 2019

Published in Issue

Year 2019 Volume: 6 Number: 2

DOI

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

IZ

https://izlik.org/JA86NZ87RM

Cite

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 (December 1, 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, vol. 6, no. 2, pp. 369–383, Dec. 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 (December 1, 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, vol. 6, no. 2, Dec. 2019, pp. 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. 2019 Dec. 1;6(2):369-83. doi:10.35193/bseufbd.598439

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