A survey on magnetic curves in 2-dimensional lightlike cone

Fatma ALMAZ; Mihriban ALYAMAÇ KÜLAHCI

doi:10.26637/MJM0703/0019

Abstract

The impact of magnetic fields on the moving particle trajectories by variational approach to the magnetic flow associated with the Killing magnetic field on lightlike cone $\mathbf{Q}^2 \subset E_1^3$ is examined. Different magnetic curves are found in the 2-dimensional lightlike cone using the Killing magnetic field of these curves. Some characterizations and definitions and examples of these curves with their shapes are given.

Keywords:

Magnetic curve, lightlike cone, killing vector field

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Fatma ALMAZ Department of Mathematics, Firat University, 23119 , Turkey https://orcid.org/0000-0002-1060-7813
Mihriban ALYAMAÇ KÜLAHCI Department of Mathematics, Firat University, 23119 , Turkey

Pages: 477-485
Date Published: 01-07-2019
Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)

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