Homothetic Motions at E4 with Bicomplex Numbers

被引：0
|
作者：
Hesna Kabadayi
Yusuf Yayli
机构：
[1] Ankara University,Department of Mathematics, Faculty of Sciences
来源：
Advances in Applied Clifford Algebras | 2011年 / 21卷
关键词：
22E70; 53A17; Homothetic motions; bicomplex numbers; Lie groups;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a matrix which is similar to Hamilton operators has been presented to bicomplex numbers in four dimensional Euclidean space E4. We show that if the matrix is obtained from a curve on the Lie group M, then the motion is a homothetic motion. It has been found that the motion defined by a regular curve of order r and derivations curves on the hypersurface M has only one acceleration center of order (r - 1) at every t-instant.
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页码：541 / 546
页数：5
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