Homothetic Motions at E (4) with Bicomplex Numbers

作者:Kabadayi Hesna*; Yayli Yusuf
来源:Advances in Applied Clifford Algebras, 2011, 21(3): 541-546.
DOI:10.1007/s00006-010-0266-0

摘要

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.

  • 出版日期2011-9