ON THE QUATERNIONIC CURVES ACCORDING TO PARALLEL TRANSPORT FRAME

被引：0
|
作者：
Soyfidan, T. [1 ]
Parlatici, H. [2 ]
Gungor, M. A. [2 ]
机构：
[1] Erzincan Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey
[2] Sakarya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey
来源：
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2013年 / 4卷 / 02期
关键词：
Parallel transport frame; quaternionic curves; quaternionic M-3-slant helix; rotations; quaternionic space;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have studied parallel transport frame for a quaternionic curve in E-3 and E-4. Firstly, we have defined a new kind of slant helix with respect to parallel transport frame and given some necessary and sufficient conditions for the quaternionic slant helix in E-3. We have introduced a new definition of harmonic curvature functions in terms of M-3 according to parallel transport frame and defined quaternionic M-3-slant helix by using the new harmonic curvature functions in E-4.
引用
收藏
页码：194 / 203
页数：10
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