HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS

Authors : Faik BABADAĞ, Yusuf YAYLI, Nejat EKMEKÇİ

Pages : 23-28

Doi:10.1501/Commua1_0000000644

View : 15 | Download : 14

Publication Date : 2009-02-01

Article Type : Research Paper

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 orderinsert ignore into journalissuearticles values(r-1); at every t- instant
Keywords : Bicomplex number, Homothetic motion, Hypersurface, Pole points, 53A05, 53A17