Spinor Equations of Successor Curves

Tülay Erişir; Hilal Köse Öztaş

doi:10.32323/ujma.1070029

EN

Spinor Equations of Successor Curves

Abstract

The aim of this study is to give spinor representation of successive curves in three-dimensional Euclidean space. In three dimensional Euclidean Space, the spinor representations of a curve with unit speed and a successor curve with the same arc length parameter as this curve has been studied. For this, first of all, the curve with unit speed and its successor curve have been corresponded to two different spinors. Then, using the relationships between these curves, the relationships between the spinors corresponding to these curves have been given. Therefore, geometric interpretations of these curves and corresponding spinors have been made. In addition, different spinor equations of the mates and derivatives of spinors have been examined and geometric interpretations of these spinor equations have been given. Then, spinor equations have been obtained in case the successive curves are helices. Consequently, two examples have been given.

Keywords

Spinors, Euclidean space, successor curve

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Tülay Erişir ^*
0000-0001-6444-1460
Türkiye

Hilal Köse Öztaş This is me
0000-0003-3690-8494
Türkiye

Publication Date

March 15, 2022

Submission Date

February 8, 2022

Acceptance Date

March 15, 2022

Published in Issue

Year 2022 Volume: 5 Number: 1

DOI

https://doi.org/10.32323/ujma.1070029

IZ

https://izlik.org/JA28ZF32EM

APA

Erişir, T., & Köse Öztaş, H. (2022). Spinor Equations of Successor Curves. Universal Journal of Mathematics and Applications, 5(1), 32-41. https://doi.org/10.32323/ujma.1070029

AMA

1.Erişir T, Köse Öztaş H. Spinor Equations of Successor Curves. Univ. J. Math. Appl. 2022;5(1):32-41. doi:10.32323/ujma.1070029

Chicago

Erişir, Tülay, and Hilal Köse Öztaş. 2022. “Spinor Equations of Successor Curves”. Universal Journal of Mathematics and Applications 5 (1): 32-41. https://doi.org/10.32323/ujma.1070029.

EndNote

Erişir T, Köse Öztaş H (March 1, 2022) Spinor Equations of Successor Curves. Universal Journal of Mathematics and Applications 5 1 32–41.

IEEE

[1]T. Erişir and H. Köse Öztaş, “Spinor Equations of Successor Curves”, Univ. J. Math. Appl., vol. 5, no. 1, pp. 32–41, Mar. 2022, doi: 10.32323/ujma.1070029.

ISNAD

Erişir, Tülay - Köse Öztaş, Hilal. “Spinor Equations of Successor Curves”. Universal Journal of Mathematics and Applications 5/1 (March 1, 2022): 32-41. https://doi.org/10.32323/ujma.1070029.

JAMA

1.Erişir T, Köse Öztaş H. Spinor Equations of Successor Curves. Univ. J. Math. Appl. 2022;5:32–41.

MLA

Erişir, Tülay, and Hilal Köse Öztaş. “Spinor Equations of Successor Curves”. Universal Journal of Mathematics and Applications, vol. 5, no. 1, Mar. 2022, pp. 32-41, doi:10.32323/ujma.1070029.

Vancouver

1.Tülay Erişir, Hilal Köse Öztaş. Spinor Equations of Successor Curves. Univ. J. Math. Appl. 2022 Mar. 1;5(1):32-41. doi:10.32323/ujma.1070029