On Killing Magnetic Fields of Magnetic Pseudo Null Curves in R

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On Killing Magnetic Fields of Magnetic Pseudo Null Curves in R_1^3

Published:2023-03-30 Issue:1 Volume:23 Page:199-208
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

IPLAR CEMILE B.¹,YAZLA AZIZ²,SARIAYDIN MUHAMMED T.²

Affiliation:

1. Selcuk University, Graduate School of Natural and Applied Science, Konya, Turkey.

2. Selcuk University, Faculty of Science, Department of Mathematics, 42130 Konya, Turkey.

Abstract

In present paper, we study the properties of the Killing magnetic field of a pseudo null magnetic curve in R_1^3 . We investigate for the T, N and B-magnetic cases of a pseudo null curve. We find the conditions for the Killing magnetic field to be pseudo null and derive the Frenet formulas for this field. Finally, we obtain the conditions for the transformation of the pseudo null curve to its pseudo null Killing magnetic field with equal torsions.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference13 articles.

1. Landau, L. D., Lifshitz, E. M., Course of theoretical physics, Elsevier, Amsterdam, Netherlands, 2013.

2. Cabrerizo, J. L., Journal of Nonlinear Mathematical Physics, 20(3), 440, 2013.

3. Özdemir, Z., PhD. Thesis Magnetic Vector Fields and Their Applications, Ankara, Turkey, 2018.

4. Yazla, A., Sariaydin, M. T., Journal of Science and Arts, 19(3), 545, 2019.

5. Yazla, A., Sariaydin, M. T., Facta Universitatis, Series: Mathematics and Informatics, 35, 605, 2020.

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