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Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps
Mathematics ( IF 2.3 ) Pub Date : 2020-07-06 , DOI: 10.3390/math8071111
Jinhua Qian , Xueshan Fu , Seoung Dal Jung

In this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of their Gauss maps, especially the generalized 1-type Gauss maps. At the same time, some representative examples are given and their graphs are plotted by the aid of a software programme.

中文翻译:

具有广义1型高斯映射的双关联空滚动

在这项工作中,从Minkowski 3空间中的空曲线的Cartan Frenet帧中定义了一对双重关联的空滚动。研究了双副零涡旋的基本几何特性,并根据它们的高斯图,特别是广义的1型高斯图,将它们相关。同时,给出了一些代表性的例子,并借助软件程序绘制了它们的图表。
更新日期:2020-07-06
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