Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$

Beyhan Yılmaz; İsmail Gök; Yusuf Yaylı

doi:10.33187/jmsm.1007857

EN

Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$

Abstract

In this present paper, rectifying curves are re-characterized in a shorter and simpler way using harmonic curvatures and some relations between rectifying curves and focal curves are found in terms of their harmonic curvature functions in $n-$dimensional Euclidean space. Then, a rectifying Salkowski curve, which is the focal curve of a given space curve is investigated. Finally, some figures related to the theory are given in the case $n=3$.

Keywords

Focal curve, Harmonic curvature, Rectifying curve.

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Beyhan Yılmaz ^*
0000-0002-5091-3487
Türkiye

İsmail Gök
0000-0001-8407-133X
Türkiye

Yusuf Yaylı
0000-0003-4398-3855
Türkiye

Publication Date

April 30, 2022

Submission Date

October 10, 2021

Acceptance Date

January 24, 2022

Published in Issue

Year 2022 Volume: 5 Number: 1

DOI

https://doi.org/10.33187/jmsm.1007857

IZ

https://izlik.org/JA92AC68ML

APA

Yılmaz, B., Gök, İ., & Yaylı, Y. (2022). Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$. Journal of Mathematical Sciences and Modelling, 5(1), 8-15. https://doi.org/10.33187/jmsm.1007857

AMA

1.Yılmaz B, Gök İ, Yaylı Y. Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$. Journal of Mathematical Sciences and Modelling. 2022;5(1):8-15. doi:10.33187/jmsm.1007857

Chicago

Yılmaz, Beyhan, İsmail Gök, and Yusuf Yaylı. 2022. “Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$”. Journal of Mathematical Sciences and Modelling 5 (1): 8-15. https://doi.org/10.33187/jmsm.1007857.

EndNote

Yılmaz B, Gök İ, Yaylı Y (April 1, 2022) Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$. Journal of Mathematical Sciences and Modelling 5 1 8–15.

IEEE

[1]B. Yılmaz, İ. Gök, and Y. Yaylı, “Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$”, Journal of Mathematical Sciences and Modelling, vol. 5, no. 1, pp. 8–15, Apr. 2022, doi: 10.33187/jmsm.1007857.

ISNAD

Yılmaz, Beyhan - Gök, İsmail - Yaylı, Yusuf. “Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$”. Journal of Mathematical Sciences and Modelling 5/1 (April 1, 2022): 8-15. https://doi.org/10.33187/jmsm.1007857.

JAMA

1.Yılmaz B, Gök İ, Yaylı Y. Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$. Journal of Mathematical Sciences and Modelling. 2022;5:8–15.

MLA

Yılmaz, Beyhan, et al. “Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$”. Journal of Mathematical Sciences and Modelling, vol. 5, no. 1, Apr. 2022, pp. 8-15, doi:10.33187/jmsm.1007857.

Vancouver

1.Beyhan Yılmaz, İsmail Gök, Yusuf Yaylı. Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$. Journal of Mathematical Sciences and Modelling. 2022 Apr. 1;5(1):8-15. doi:10.33187/jmsm.1007857

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Null Osculating Curves of Type (n-3) in Lorentzian n-Space

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https://doi.org/10.54370/ordubtd.1746044

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