One-Parameter Planar Motions in Generalized Complex Number Plane


Gurses N. , YÜCE S.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.25, ss.889-903, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25 Konu: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00006-015-0530-4
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Sayfa Sayısı: ss.889-903

Özet

In this study, we firstly give the basic notations of the generalized complex number plane (-complex plane) . Then, we introduce the one-parameter planar motions in -complex plane such that . These motions correspond the one-parameter motions in affine Cayley-Klein planes [1]. We examine this motion theory with aspects of complex motions as given in [2]. Besides, we discuss the relations between absolute, relative, sliding velocities (accelerations) and pole curves under the motions .