On a Study of the Quaternionic Lorentzian Curve
Authors : Müge KARADAĞ, Ali İhsan SİVRİDAĞ
Pages : 937-940
Doi:10.2339/politeknik.389626
View : 12 | Download : 5
Publication Date : 2018-12-01
Article Type : Research
Abstract :In this study, Serret-Frenet Formulas for a space-quaternionic curve were obtained by considering quaternions and pseudo-quaternions in three-dimensional Lorentz Space L Q 3 . The Serret-Frenet Formulas for a Quaternionic Lorentz Curve L Q 4 were then re-derived using them.Keywords : Ruled surfaces, lightlike curves, lightlike surfaces, Minkowski space, distribution parameter, Laplacian and D’Alembertian operator