论文标题

Minkowski中相对正常的螺旋螺旋螺旋$ 3 $ - 空间

Relatively normal-slant helices in Minkowski $3$-space

论文作者

Yadav, Akhilesh, Yadav, Ajay Kumar

论文摘要

在本文中,我们研究了位于时间层上的相对正常的斜线,以及Minkowski中的间距表面$ 3 $ -SPACE $ \ MATHBB {E} _1 _1^3 $。间距和时脉的轴相对正常的螺旋螺旋是通过其Darboux框架获得的。我们还建立了Spacelike和Pimelike的表征定理,Minkowski中相对正常的螺旋螺旋$ 3 $ -SPACE $ \ MATHBB {E} _1 _1^3 $。最后,在及时型和间距表面上发现了相对正常的螺旋螺旋和斜螺旋之间的关系。

In this paper, we study relatively normal-slant helices lying on timelike as well as spacelike surfaces in Minkowski $3$-space $ \mathbb{E}_1^3$. The axes of spacelike and timelike relatively normal-slant helices are obtained via their Darboux frames. We also establish characterization theorems for spacelike and timelike relatively normal-slant helices in Minkowski $3$-space $\mathbb{E}_1^3$. Finally, the relationship between relatively normal-slant helices and slant helices is found on timelike as well as spacelike surfaces.

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