The Chen type of Hasimoto surfaces in the Euclidean 3-space

A surface $ \mathcal{M}^{2} $ with position vector $ r = r(s, t) $ is called a Hasimoto surface if the relation $ r_{t} = r_{s} \wedge r_{ss} $ 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 $-harm...

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Bibliographic Details
Main Authors: Hassan Al-Zoubi, Bendehiba Senoussi, Mutaz Al-Sabbagh, Mehmet Ozdemir
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023819?viewType=HTML