Elastic Sturmian spirals in the Lorentz-Minkowski plane-Reference-Cited by-同舟云学术

Elastic Sturmian spirals in the Lorentz-Minkowski plane

Published:2016-01-01 Issue:1 Volume:14 Page:1149-1156
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Uçum Ali¹,İlarslan Kazım¹,Mladenov Ivaïlo M.²

Affiliation:

1. 1Kırıkkale University, Faculty of Sciences and Arts, Kırıkkale, Turkey

2. 2Institute of Biophysics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 21, 1113, Sofia, Bulgaria

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0103/pdf

Reference10 articles.

1. Closed Generalized Elastic Curves inS Closed Generalized Elastic Curves in S;Arroyo;Geom Phys Geom Phys,2003

2. Reduction of Orderfor Constrained Variational Problems and γ ( κ ds kappa ds Reduction of Order for Constrained Variational Problems and γ ( κ ds kappa ds;Bryant;int gamma Am J Math int gamma Am J Math,1986

3. Non - Euclidean Elastica Non - Euclidean ElasticaAm;Jurdlevic;Am J Math Math,1995

4. Differential Geometry of Curves and Sufaces in Minkowski Space Differential Geometry of Curves and Sufaces in Minkowski;Lopez;Geom Geom,2014

5. Generalized Elastica on Dimensional de Sitter SpaceS Mod Generalized Elastica on Dimensional de Sitter SpaceS Mod;Huang;J Geom Methods Phys Int J Geom Methods Phys,2016

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