Year: 2024
Type: article
Abstract: In this study, we investigate the equiform geometry of Hasimoto surfaces within the context of three-dimensional Minkowski space. We analyze the geometric characteristics inherent to these surfaces, focusing on their Gaussian and mean equiform curvatures. This analysis encompasses three distinct scenarios involving non-lightlike curves. Additionally, we propose a method for characterizing the parameter curves associated with the equiform Hasimoto surfaces in Minkowski space. To illustrate our findings, we present several examples of these surfaces within this geometric framework.
Source: Physica Scripta
Author: Ayman Elsharkawy
Institution: Tanta University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4404591660