- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 58 Issue: 1
- HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS
HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS
Authors : Faik Babadağ, Yusuf Yayli, Nejat Ekmekçi
Pages : 23-28
Doi:10.1501/Commua1_0000000644
View : 12 | Download : 3
Publication Date : 2009-02-01
Article Type : Research
Abstract :In this study, one of the concepts of conjugate which is defined[1] for bicomplex numbers is investigated. In this case, the metric, in fourdimensional semi-Euclidean space E, has been defined by the help of theconcept of the conjugate.We define a motion in E2with the help of themetric in bicomplex numbers. We show that the motions de…ned by a curvelying on a hypersurface M of Eare homothetic motions . Furthermore, it isshown that the motion defined by a regular curve of order r and derivationsof the curve on the hypersurface M has only one acceleration centre of order(r-1) at every t- instantKeywords : Bicomplex number, Homothetic motion, Hypersurface, Pole points, 53A05, 53A17