ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI 3-SPACE

Jafari M., YAYLI Y.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.6, sa.1, ss.87-94, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 1
  • Basım Tarihi: 2016
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.87-94
  • Anahtar Kelimeler: Split quaternion, Hamilton operator, Homothetic motion, pole point, QUATERNIONS, ROTATIONS
  • Ankara Üniversitesi Adresli: Evet

Özet

A one-parameter homothetic motion in three-dimensional Minkowski space is defined by means of the Hamilton operators. We study some properties of this motion and show that it has only one pole point at every instant t. We also obtain the Darboux vector of the homothetic motion in E-1(3) and show that it can be written as multiplication of two split quaternions.