Contribution to null Killing magnetic trajectories

International Journal of Maps in Mathematics - IJMM

View Publication Info
 
 
Field Value
 
Title Contribution to null Killing magnetic trajectories
 
Creator Özkan Tükel, Gözde
Turhan, Tunahan
 
Description We analyzed null magnetic trajectories of a magnetic field on a timelike surface in Minkowski 3-space. We show that the Lorentz force can be written into the Darboux frame field of a null trajectory on the surface. We give the necessary and sufficient condition for writing a null curve as the magnetic trajectory of the magnetic field. Then constructing a variation, we derive the Killing magnetic flow equations with regard to the geodesic curvature, geodesic torsion and normal curvature of the curve γ on the timelike surface. Finally we examine magnetic curves on a timelike pseudo-sphere and the pseudo-cylinder.
 
Publisher Bayram Şahin
 
Date 2020-09-21
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
 
Format application/pdf
 
Identifier http://www.journalmim.com/index.php/ijmm/article/view/68
 
Source International Journal of Maps in Mathematics - IJMM; Vol 3 No 2 (2020): International Journal of Maps in Mathematics; 129-138
2636-7467
 
Language eng
 
Relation http://www.journalmim.com/index.php/ijmm/article/view/68/41
 
Rights Copyright (c) 2020 International Journal of Maps in Mathematics - IJMM
 

Contact Us

The PKP Index is an initiative of the Public Knowledge Project.

For PKP Publishing Services please use the PKP|PS contact form.

For support with PKP software we encourage users to consult our wiki for documentation and search our support forums.

For any other correspondence feel free to contact us using the PKP contact form.

Find Us

Twitter

Copyright © 2015-2018 Simon Fraser University Library