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
收藏
页码：1387 / 1409
页数：23
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