In this paper, we give the definitions and characterizations of quaternionic Salkowski, quaternionic anti-Salkowski and quaternionic similar curves in the Euclidean spaces E³ and E⁴. We obtain relationships between these curves and some special quaternionic curves such as quaternionic slant helices and quaternionic B₂-slant helices.

中文翻译：

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四元数Salkowski曲线和四元数相似曲线

在本文中，我们给出了欧几里得空间E ³和E ^4中四元离子Salkowski曲线，四元离子反Salkowski曲线和四元离子相似曲线的定义和特征。我们获得了这些曲线与一些特殊的四元离子曲线之间的关系，例如四元离子倾斜螺旋和四元B _2-倾斜螺旋。