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Exploring Hasimoto surfaces within equiform geometry in Minkowski space
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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.
Title: Exploring Hasimoto surfaces within equiform geometry in Minkowski space
Description:
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.
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