Geometry and evolution of Hasimoto surface in Minkowski 3-space
H. S. Abdel-Aziz,
H. M. Serry,
F. M. El-Adawy
et al.
Abstract:The main goal of this paper is to introduce the evolution equations for a timelike Hasimoto surface from its fundamental form coefficients in Minkowski 3-space E 1 3. By utilizing the evolved quasi-curve (q-curve), we present and analyze three types of Hasimoto surfaces, attributed to the quasi-tangent, quasi-normal, and quasi-binormal vectors of the curve. Finally, we provide an illustrated example to strengthen our main results.
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