@article{Al-Zoubi2023, 
author = {Hassan Al-Zoubi and Bendehiba Senoussi and Mutaz Al-Sabbagh and Mehmet Ozdemir},
title = {The Chen type of Hasimoto surfaces in the Euclidean 3-space},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {16062-16072},
keywords = {Hasimoto surface, Gauss map, Euclidean space, Beltrami-Laplace operator, surfaces of finite type},
url = {https://www.sciopen.com/article/10.3934/math.2023819},
doi = {10.3934/math.2023819},
abstract = {A surface              M              2       with position vector    r  =  r  (  s  ,  t  ) is called a Hasimoto surface if the relation        r          t        =      r          s        ∧      r          s      s       holds. In this paper, we first define the Beltrami-Laplace operator according to the three fundamental forms of the surface, then we classify the    J-harmonic Hasimoto surfaces and their Gauss map in              E              3      , for    J  =  I  I and    I  I  I.}
}