Homothetic Motions at E
4 with Bicomplex Numbers |
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Authors: | Hesna Kabadayi Yusuf Yayli |
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Institution: | 1. Department of Mathematics, Faculty of Sciences, Ankara University, 06100, Tando?an, Ankara, Turkey
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Abstract: | In this paper, a matrix which is similar to Hamilton operators has been presented to bicomplex numbers in four dimensional
Euclidean space E
4. We show that if the matrix is obtained from a curve on the Lie group M, then the motion is a homothetic motion. It has been found that the motion defined by a regular curve of order r and derivations curves on the hypersurface M has only one acceleration center of order (r - 1) at every t-instant. |
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