Homothetic Motions at E4 with Bicomplex Numbers
Advances in Applied Clifford Algebras, cilt.21, sa.3, ss.541-546, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 21 Sayı: 3
- Basım Tarihi: 2011
- Doi Numarası: 10.1007/s00006-010-0266-0
- Dergi Adı: Advances in Applied Clifford Algebras
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.541-546
- Anahtar Kelimeler: bicomplex numbers, Homothetic motions, Lie groups
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, a matrix which is similar to Hamilton operators has been presented to bicomplex numbers in four dimensional Euclidean space E4. 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. © 2010 Springer Basel AG.