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 …

A surface M2 with position vector r= r (s, t) is called a Hasimoto surface if the relation rt= rs∧
rss holds. In this paper, we first define the Beltrami-Laplace operator according to the three …

Involute–evolute curve pairs enable us to forecast their behaviors in various situations
because of their well-defined mathematical characteristics. A mathematical surface …

In this paper, we derive the surfaces, which are called Hasimoto surfaces, corresponding to
solutions of the localized induction equation for involute evolute curves. We investigate the …