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

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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

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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 -

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