Homothetic Motions at E4 with Bicomplex Numbers

Kabadayi H., YAYLI Y.

Advances in Applied Clifford Algebras, cilt.21, sa.3, ss.541-546, 2011 (SCI-Expanded) identifier

  • 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.