On a Study of the Quaternionic Lorentzian Curve

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Politeknik Dergisi
Volume:21 Issue:4
On a Study of the Quaternionic Lorentzian Curve

On a Study of the Quaternionic Lorentzian Curve

Authors : Müge KARADAĞ, Ali İhsan SİVRİDAĞ

Pages : 937-940

Doi:10.2339/politeknik.389626

View : 30 | Download : 15

Publication Date : 2018-12-01

Article Type : Research Paper

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 DAlembertian operator

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