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Frenet Curve Couples in Three Dimensional Lie Groups

Osman Zeki Okuyucu*

Department of Mathematics, Faculty of Science and Arts, Bilecik ¸Seyh Edebali University, Bilecik, Turkey

* Corresponding Author: Osman Zeki Okuyucu. Email: email

(This article belongs to the Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2022, 133(3), 653-671. https://doi.org/10.32604/cmes.2022.021081

Abstract

In this study, we examine the possible relations between the Frenet planes of any given two curves in three dimensional Lie groups with left invariant metrics. We explain these possible relations in nine cases and then introduce the conditions that must be met to coincide with the planes of these curves in nine theorems.

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Cite This Article

APA Style
Okuyucu, O.Z. (2022). Frenet curve couples in three dimensional lie groups. Computer Modeling in Engineering & Sciences, 133(3), 653-671. https://doi.org/10.32604/cmes.2022.021081
Vancouver Style
Okuyucu OZ. Frenet curve couples in three dimensional lie groups. Comput Model Eng Sci. 2022;133(3):653-671 https://doi.org/10.32604/cmes.2022.021081
IEEE Style
O.Z. Okuyucu, "Frenet Curve Couples in Three Dimensional Lie Groups," Comput. Model. Eng. Sci., vol. 133, no. 3, pp. 653-671. 2022. https://doi.org/10.32604/cmes.2022.021081



cc Copyright © 2022 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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