Homothetic Motions at with Split Octonions

Year 2015, Volume: 28 Issue: 4, 675 - 681, 16.12.2015

Mehdi Jafari

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

• Prof. Dr. Yusuf YAYLI (Ankara university)
• Asso. Prof. Hesna KABADAYI (Ankara university)
• Prof. Dr. Hilmi Hacisalihoglu (Bilecik uni.)
• Asso. Professor Sidikka OZKALDI (Bilecik uni.)