Homothetic Motions at with Split Octonions

Abstract

In this paper, a matrix which is similar to Hamilton operators has been developed for split-octonions in eight dimensional semi-Euclidean space  and a new motion has been defined by this matrix. It is shown that this is a homothetic motion. Furthermore, it is found that the motion defined by a regular curve of order r has only one acceleration center of order (r-1) at every instant t.

Keywords

• Hamilton Operator,split octonion.

References

1. Prof. Dr. Yusuf YAYLI (Ankara university)
2. Asso. Prof. Hesna KABADAYI (Ankara university)
3. Prof. Dr. Hilmi Hacisalihoglu (Bilecik uni.)
4. Asso. Professor Sidikka OZKALDI (Bilecik uni.)