General Helices with Timelike Slope Axis in Minkowski 3-Space

被引:0
|
作者
Ali Uçum
Çetin Camci
Kazım  İlarslan
机构
[1] Kırıkkale University,Department of Mathematics, Faculty of Sciences and Arts
[2] Onsekiz Mart University,Department of Mathematics, Faculty of Sciences and Arts
来源
Advances in Applied Clifford Algebras | 2016年 / 26卷
关键词
General helix; Timelike slope axis; Minkowski 3-space; 53C30; 53C52;
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学科分类号
摘要
In the present paper, we consider the general helices in Minkowski 3-space to have a constant timelike slope axis. As a result, we show that there exists no pseudo null helix with constant timelike slope axis or spacelike helix with timelike principal normal and constant timelike slope axis. Moreover, we obtain the parametric equations of spacelike helix with spacelike principal normal, timelike helix and null Cartan helix with timelike slope axis. We also give some related examples and their figures.
引用
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页码:793 / 807
页数:14
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