Elastic Sturmian spirals in the Lorentz-Minkowski plane

• Autorzy: Ali Uçum , Kazım İlarslan , Ivaïlo M. Mladenov
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Elastic curves; Lorentz-Minkowski plane; Sturmian spirals

Kategorie tematyczne

• 53B30: Lorentz metrics, indefinite metrics
• 53A35: Non-Euclidean differential geometry
• 53B50: Applications to physics

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1149-1156

Daty

wydano

2016-01-01

otrzymano

2016-10-16

zaakceptowano

2016-11-22

online

2016-12-30

Twórcy

autor

Ali Uçum

• Kırıkkale University, Faculty of Sciences and Arts, Kırıkkale,

autor

Kazım İlarslan

• Kırıkkale University, Faculty of Sciences and Arts, Kırıkkale,

autor

Ivaïlo M. Mladenov

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

Identyfikatory

DOI

10.1515/math-2016-0103