The Quaternionic Expression of Ruled Surfaces

被引：20

作者：

Senyurt, Suleyman ^{[1
]}

Caliskan, Abdussamet ^{[1
]}

机构：

[1] Ordu Univ, Dept Math, Fac Arts & Sci, Ordu, Turkey

来源：

FILOMAT | 2018年 / 32卷 / 16期

关键词：

Quaternion; spatial quaternion; ruled surface; closed ruled surface; distribution parameter; angle of pitch; the pitch;

D O I：

10.2298/FIL1816753S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, firstly, the ruled surface is expressed as a spatial quaternionic. Also, the spatial quaternionic definitions of the Striction curve, the distribution parameter, angle of pitch and the pitch are given. Finally, integral invariants of the closed spatial quaternionic ruled surfaces drawn by the motion of the Frenet vectors {t, n(1), n(2)} belonging to the spatial quaternionic curve alpha are calculated.

引用

页码：5753 / 5766

页数：14

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