Homothetic Cayley Formula and its Applications


ÜNAL D., Güngör M. A., Tosun M.

Advances in Applied Clifford Algebras, cilt.26, sa.2, ss.809-824, 2016 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00006-015-0631-0
  • Dergi Adı: Advances in Applied Clifford Algebras
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.809-824
  • Anahtar Kelimeler: Homothetic Cayley transformation, Rotation, Homothetic motions, Euler-Rodrigues formula
  • Kırklareli Üniversitesi Adresli: Hayır

Özet

In this study the homothetic Cayley Formula has been defined for an antisymmetric matrix and the relation between an antisymmetric matrix and a vector has been given. Hence Rodrigues and Euler parameters have been obtained for homothetic motions. On the other hand, some results and applications have been achieved by using homothetic rotation matrix.