Elastic Sturmian spirals in the Lorentz-Minkowski plane

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.

Keywords

• elastic curves
• lorentz-minkowski plane
• sturmian spirals
• 53a35
• 53b30
• 53b50