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Hasimoto surfaces in Galilean space \(G_{3}\)
Journal of the Egyptian Mathematical Society Pub Date : 2021-02-10 , DOI: 10.1186/s42787-021-00113-y
M. Elzawy

In this article Hasimoto surfaces in Galilean space $$G_{3}$$ will be considered, Gauss curvature (K) and Mean curvature (H) of Hasimoto surfaces $$\chi =\chi (s,t)$$ will be investigated, some characterization of s-curves and t-curves of Hasimoto surfaces in Galilean space $$G_{3}$$ will be introduced. Example of Hasimoto surfaces will be illustrated.

中文翻译:

伽利略空间\(G_ {3} \)中的Hasimoto曲面

在本文中,将考虑伽利略空间$$ G_ {3} $$中的Hasimoto曲面,而Hasimoto曲面$$ \ chi = \ chi(s,t)$$的高斯曲率(K)和平均曲率(H)将为在调查中,将介绍伽利略空间$$ G_ {3} $$中Hasimoto曲面的S曲线和T曲线的一些特征。将说明Hasimoto表面的示例。
更新日期:2021-02-11
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