Article
Kyungpook Mathematical Journal 2018; 58(2): 377-388
Published online June 23, 2018
Copyright © Kyungpook Mathematical Journal.
Quaternionic Direction Curves
Burak Şahiner
Department of Mathematics, Manisa Celal Bayar University, Manisa 45140, Turkey, e-mail: burak.sahiner@cbu.edu.tr
Received: September 28, 2017; Accepted: April 12, 2018
In this paper, we define new quaternionic associated curves called quaternionic principal-direction curves and quaternionic principal-donor curves. We give some properties and relationships between Frenet vectors and curvatures of these curves. For spatial quaternionic curves, we give characterizations for quaternionic helices and quaternionic slant helices by means of their associated curves.
Keywords: associated curves, direction curves, quaternionic curves, quaternionic helix, spatial quaternionic curves