Elastic Sturmian spirals in the Lorentz-Minkowski plane

Ali Uçum; Kazım İlarslan; Ivaïlo M. Mladenov

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 1149-1156
  • ISSN: 2391-5455

Abstract

top
In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more details the generalized Sturmian spirals in the Lorentz-Minkowski plane which simultaneously are elastics in this space.

How to cite

top

Ali Uçum, Kazım İlarslan, and Ivaïlo M. Mladenov. "Elastic Sturmian spirals in the Lorentz-Minkowski plane." Open Mathematics 14.1 (2016): 1149-1156. <http://eudml.org/doc/288061>.

@article{AliUçum2016,
abstract = {In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more details the generalized Sturmian spirals in the Lorentz-Minkowski plane which simultaneously are elastics in this space.},
author = {Ali Uçum, Kazım İlarslan, Ivaïlo M. Mladenov},
journal = {Open Mathematics},
keywords = {Elastic curves; Lorentz-Minkowski plane; Sturmian spirals; elastic curves},
language = {eng},
number = {1},
pages = {1149-1156},
title = {Elastic Sturmian spirals in the Lorentz-Minkowski plane},
url = {http://eudml.org/doc/288061},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Ali Uçum
AU - Kazım İlarslan
AU - Ivaïlo M. Mladenov
TI - Elastic Sturmian spirals in the Lorentz-Minkowski plane
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1149
EP - 1156
AB - In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more details the generalized Sturmian spirals in the Lorentz-Minkowski plane which simultaneously are elastics in this space.
LA - eng
KW - Elastic curves; Lorentz-Minkowski plane; Sturmian spirals; elastic curves
UR - http://eudml.org/doc/288061
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.