A New Representation of Canal Surfaces with Split Quaternions in Minkowski 3-Space

被引：17

作者：

Kocakusakli, Erdem ^{[1
]}

Tuncer, O. Ogulcan ^{[1
]}

Gok, Ismail ^{[1
]}

Yayli, Yusuf ^{[1
]}

机构：

[1] Ankara Univ, Dept Math, Fac Sci, Ankara, Turkey

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 02期

关键词：

Canal surface; Minkowski space; Spherical indicatrix of space curve; Split quaternion; Tubular surface; EUCLIDEAN-SPACE E-2(4); TUBULAR SURFACES; CURVES; ROTATIONS; HELICES;

D O I：

10.1007/s00006-016-0723-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce canal surfaces determined by spherical indicatrices of any spatial curve in Minkowski 3-space by means of timelike split quaternions. Moreover, using orthogonal matrices corresponding to these quaternions, the canal surfaces are obtained as homotetic motions. Then, we investigate a relationship between the canal surfaces and unit split quaternions. Finally, we present some interesting examples with figures.

引用

页码：1387 / 1409

页数：23

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