Some characterizations of pseudo null isophotic curves in Minkowski 3-space
JOURNAL OF GEOMETRY(2021)
摘要
In this paper, we define and characterize pseudo null isophotic curves lying on a non-degenerate surface in Minkowski 3-space. We find the relation between Darboux frame’s Darboux vector (angular velocity vector, centrode) D̅ of such curves and Frenet frame’s Darboux vector D . We prove that D spans their axes if and only if it coincides with D̅ . In particular, we show that the only pseudo null isophotic curves whose axes are spanned by D are pseudo null helices. Finally, we provide the related examples.
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关键词
Pseudo null curve,isophotic curve,Darboux vector,Non-degenerate surface,Minkowski space
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