HASIMOTO SURFACES WITH POINTWISE 1-TYPE GAUSS MAP

In this study, we have investigated Hasimoto surfaces with a pointwise 1-type Gauss map, which will be useful in classifying surfaces. Firstly, we have reminded the basic concepts related to the Gauss map of a surface. Later, we have obtained the necessary conditions for surfaces to be the first kind, the second kind, and the harmonic type of the pointwise 1-type Gauss map for Hasimoto surfaces. Finally, we have provided an example of a Hasimoto surface with pointwise 1-type Gauss map and plotted its graphic.