HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS
HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS
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- instant
Keywords:
Bicomplex number, Homothetic motion, Hypersurface Pole points, 53A05, 53A17,
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- do¼gan, Ankara, TURKEY E-mail address : babadagf@science.ankara.edu.tr,yayli@science.ankara.edu.tr
- ekmekci@science.ankara.edu.tr
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi
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